Question

Solve the quadratic equation

x^2-5x=-4x

Answer 1

first add 4x to both sides of the equation

Answer 2

can you do that?

Answer 3

x^2 - 5x + 4x = -4x + 4x

Answer 4

what does that do to the right side?

Answer 5

Cancels out -4x and makes it a 0??

Answer 6

@welshfella

Answer 7

yup, you are going to the right direction.

Answer 8

yes

Answer 9

So now you've expressed your quadratic in "standard form"" ax^2 + bx + c = 0. What are the values of the coefficients a, b and c in this case?

Answer 10

Those coefficients would be needed were you to solve this quadratic equation with the quadratic formula.

However, since your equation has no third term (c is zero),
a faster way to a solution would be through factoring your quadratic. Please try that; show your work.

Answer 11

Here's what you have: x^2 - 5x + 4x = -4x + 4x (with thanks to welshfella)

Combine the x terms on the left side. Do the same for the x terms on the right side.

Present your result here.

Answer 12

X^2-1x=0 I feel like that wrong I have no idea what I'm doing.

Answer 13

@mathmale

Answer 14

no that is correct -5x + 4x = -1x (or you can write it as -x)

Answer 15

x^2 - 1x = 0

this can be factored
Note that x is a part of both terms in this equation

can you factor it?

Answer 16

one factor will be x
to find the other factor we divide x into x^2
what is x^2 / x ?

Answer 17

Ugh I have NO idea

Answer 18

Okay wait. @welshfella is x divided by x^2 1/x

Answer 19

thats right 1x or x

and what is x / x?

Answer 20

not 1/x but 1x

Answer 21

2 * 2 / 2 = 2 right?

Answer 22

X divided by X is 1? Yes.

Answer 23

right

so the factors are x and x - 1

so we can say
x(x - 1) = 0

follow?

Answer 24

Yes

Answer 25

ok now we have 2 things multipliesd together and the answer is zero

that means that one or the other must be zero

so we can say that x = 0 or x - 1 = 0

understand?

Answer 26

Yes

Answer 27

like if 5 time something is zero then the something must be zero , right?

Answer 28

Yes

Answer 29

now its easy to solve
either x = 0 - that is one answer
or
x - 1 = 0
add 1 to both sides and we get
x - 1 + 1 = 0+1
x = 1


so there is our solution
we can write them as a pair

solution is {0,1}

Answer 30

Thank you so much

Answer 31

yw
hope you understand somewhat better