Question

Solve 2x^2 - 4x = 0 using factoring.
Select one:
a. {2, 2} Incorrect
b. {2, 4}
c. {2, -2}
d. {0, 2}

Answer 1

factor a 2x out and tell me what you have

Answer 2

First, you factor out the 2, so the equation becomes \[2(x ^{2}-2x)=0\].
Now factor the equation inside the parantheses.
The common factor is x, so the equation becomes \[2(x(x-2))=0\].
Divide both sides by 2, giving you \[x(x-2)=0\].
Here, either x or x-2 has to be 0 for the equation to be true.
So x=0 or x-2=0, which gives you 0 or 2.

(0,2).
The correct answer is d.