Question

14-x(x+3)=2x-x(x-6)+8

Answer 1

What is the question - Solve for x? @shelby1290

Answer 2

@Directrix yes

Answer 3

Let's do this in parts:

Multiply this out and simplify: 14-x*(x+3)= ?

If you do that, then I'll share the load with you and I will crank out the right side. Okay?

Answer 4

okay

Answer 5

wait when you mutiply x by x is it 2x or x^2

Answer 6

x plus x = 2x

x times x = x²

Answer 7

okay

Answer 8

when i did the first part i got:
14-x^2+3

Answer 9

oops 3x

Answer 10

Okay.

Answer 11

@shelby1290 Look at this again: 14-x*(x+3)=

Should the 3x by +3x or -3x ?

Answer 12

Don't forget the Distributive Property ^^^ attachment review.

Answer 13

I'm starting on my part while you check yours.

Answer 14

wait what are you asking me to change ?

Answer 15

I'm saying that you have a bad sign on the 3x.

when i did the first part i got: 14-x^2+3x

You need to correct it or we will get a wrong answer in the end.

Answer 16

You messed up when you multiplied this: -x*(x+3)

The -x is to be distributed over the x AND the + 3.

Answer 17

2x-x(x-6)+8 =

2x - x*x -x*(-6) + 8 =

2x - x² + 6x + 8 =

-x² + 8x + 8 --> This is the right side.

Answer 18

For the left side, you were supposed to get:

-x² - 3x + 14

Answer 19

wait but how come you moved 14

Answer 20

14-x(x+3)=2x-x(x-6)+8

-x² - 3x + 14 = -x² + 8x + 8

I put my work on the right and yours on the left above.

The task now is to solve this equation.

-x² - 3x + 14 = -x² + 8x + 8
+x² +x²
-----------------------------

@shelby1290

What do we get now after adding x² to both sides.

Answer 21

dont you collect like terms or is this something else

Answer 22

>>so the left side will be 14-x^2-3x ? Yes.
>>wait but how come you moved 14 ? It was not required.
I put the terms in descending order of the powers.
You can leave the 14 as you had it.
But, the mistake with the 3 and the x had to be corrected.

Answer 23

>>dont you collect like terms

Right.

Answer 24

i believe -x^2 and -x^2 would cancel out ?? ( not sure)
3x+8x=11x
or
3x-8x =-5x
sorry but i just suck at this unit and math in general :/

Answer 25

-x² - 3x + 14 = -x² + 8x + 8
+x² +x²
---------------------------
-3x + 14 = 8x + 8
-8x -8x
------------------------
-11x + 14 = 8
- 14 -14
------------------------
-11x = -6
x = ? @shelby1290

Answer 26

@shelby1290 What is the value of x?

Answer 27

x=5

Answer 28

Please post the work for that x = 5. Okay?

Answer 29

to get 5
i did -6+11

Answer 30

am i right ?

Answer 31

No. The -11 is not really -11 but is -11x.

-11x = -6
Divide both sides by -11

x = (-6)/(-11) = 6/11

Answer 32

0.54

Answer 33

do you simplify it to a decimal or leave it as a fraction

Answer 34

I would leave the answer as 6/11 but I don't know what you have been instructed to do regarding decimals and approximation.

Answer 35

If you have answer options, then look at them. If not, then I don't know but would leave the answer at x = 6/11.

Answer 36

okay thank you so much @Directrix

Answer 37

You are welcome.