Question

Solve by factoring. Check your answer.


`x^2-4x=0`

Please show all your work and explain all steps. Thanks :)

Answer 1

`x=0,4`

Explanation:

Factor out the common terms from the given terms:

`x^2-4x=0`

You can factor out x from both:

`x(x-4)=0`

Rewrite, setting each equal to 0:

`(x)(x-4)=0\\\\x=0\\\\x-4=0`

Simplify the second equation by solving for x:

`x-4=0\\\\x-4+4=0+4\\\\x=4`

Therefore, x=0 or x=4

:Done

Answer 2

To factor, you split the equation so the factors multiply to get the whole equation.
(x-2)(x+2)

Then, interpret the factors.
The zeros can be found at (2,0) and (-2,0).
x=2, x=-2