Question

Solve by factoring. Check your answer.
$x^2-4x=0$

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

Answer 1

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

Answer 2

Answer:

$x=0,4$

Step-by-step 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