Question

What are the solutions to the quadratic equation 5x2 + 60x = 0?

x = 0 and x = −12
x = 0 and x = 12
x = 5 and x = −12
x = 5 and x = 12

Answer 1

Do you have an idea on how to do this?

Answer 2

I think I do somewhat

Answer 3

factor out the like terms for
\[5x^2+60x=0\]

Answer 4

Aren't I supposed to find what 5^2 and 60 have in common or something like that or I am mistaken ._.

Answer 5

yeah.... you are supposed to find what they have in common and yank em out.

Answer 6

Well in order to get 0 on the right we know that x=0 in one case because substituting 0 in we will get 0 on the left

Answer 7

To find the second number you have to factor out what you can so what can you factor out?

Answer 8

let's split this up for a sec
\[5x^2+(5)(12)x=0\]
ok what number do they have in common and what variable do they have in common?

Answer 9

They have 5 and 12 in common.... 5 and 12 have..... 3 in common I guess.... since 3 times 3 is 12 and 3 +2 = 5

Answer 10

They both have 5x in common so you can factor that out

Answer 11

So 5x(x+12)=0

Answer 12

how is 3 x 3 12?
3 x 3 = 9

Answer 13

I meant 3 times 4 sorry

Answer 14

To get the inside the brackets equal to 0 how do you get that?

Answer 15

well 12 x 5 = 60. when I split it up we have a 5 for the number in common and x for the variable in common so 5x gets yanked out
and we're left with
5x(x+12)=0
now we solve for x for these two cases
5x = 0 and x +12 = 0

Answer 16

By subtracting because we want less?

Answer 17

Solve both for x

Answer 18

x = 0 its so simple ._.

Answer 19

@pooja195 yes solve both equations for x

Answer 20

5x = 0 (divide)
x +12 = 0 (sibtract)

Answer 21

(X+12)=0 you want some number to be negative so it equals 0

Answer 22

we want x by itself for x+12=0
so we subtract both sides by 12

Answer 23

The answer is still zero since 0 minus 12 is 12 and 12 divided by 0 is ZERO so both answers are Zero :D

Answer 24

omg I am facepalming over this.

Answer 25

there are two solutions of x.

Answer 26

we got x = 0 for 5x=0
now solve
x+12 = 0
by subtracting 12 on both sides.

Answer 27

Its 11pm I have had a long day I am already bad at math add me doing this half asleep.....

Answer 28

I DID!

Answer 29

0-12?

Answer 30

X+12=0
x+12-12=0-12

Answer 31

GOD ITS LIKE 6th grade ALGEBRA! 12 minus zero is 12

Answer 32

Zero minus twelve not twelve minus zero

Answer 33

Well Negative 12

Answer 34

thank you @taramgrant0543664

Answer 35

But it is still 12

Answer 36

Just on the left side XD

Answer 37

Zero minus twelve is negative twelve

Answer 38

I just said that ._.

Answer 39

5x(x+12) = 0
5x = 0
divide 5 on both sides and we have x = 0
x+12 = 0
-12 -12
x = -12

Answer 40

It's not twelve it's negative twelve

Answer 41

Well sorry! The answer is A i finally finished the test thanks and sorry for being a freaking idiot..... its just late and I have been doing work all day and by now my head is just on fire ._. I am going to bed good night

Answer 42

@UsukiDoll
Sarcasm is one of my many flaws its an aspect of my personality I have to fix...... I am very sorry if I was a jerk or I offended you in any way thanks for the help and patients both you and @taramgrant0543664

Answer 43

ah... that's ok. I take meds in real life or get high blood pressure so I type some crazy stuff sometimes too. XD

Answer 44

\(\Large 5x^2 + 60x=0\)

Factor out the common factor 5x:

\(\Large \color{red}{5x} \cdot x + 12 \cdot \color{red}{5x} = 0\)

\(\Large 5x(x + 12) = 0\)

Divide both sides by 5:

\(\Large x(x + 12) = 0\)

Set both factors equal to 0:

\(\Large x = 0\) or \(\Large x + 12 = 0\)

Solve both equations for x:

\(\Large x = 0\) or \(\Large x = -12\)

Answer 45

lol ok

Answer 46

meow ^.^

Answer 47

Oh and I got an 89% in the test! XD

Answer 48

So double thanks now good night and bye