Algebra-1

Let's analyze Chris's approach to solving the equation 2x²−2=0:

Given equation: 2x²−2=0

Chris's steps:

Factoring the equation: Chris factored the left-hand side as (x−1)(2x+2)=0.

Setting factors equal to zero: He then set each factor to zero:

x−1=0⇒x=1

2x+2=0⇒2x=−2⇒x=−1

So, Chris found the solutions x=1 and x=−1.

Verification:

Correct factoring: The original equation can indeed be factored as: