Question

Which of the following equations are equivalent to 2x(x - 2) = x? Select two that apply.

SA
2(x - 2) = 0
B
2x² – 5x=0
C
2x(x - 2) - x = 0
D
x(2(x - 2) - x) = 0​

Answer 1

Answer: C 2x(x - 2) - x = 0

and B 2x² – 5x=0

Explanation:

You get 2x(x - 2) - x = 0 by subtracting x from both sides of the original equation.

Then take 2x(x - 2) - x = 0 and distribute to get 2x² - 4x -x = 0

combine the x terma and you end up with 2x² – 5x=0