Question

Solve for all values of xx by factoring.
x, squared, plus, 2, x, equals, minus, 2, x
x
2
+2x=
−2x

Answer 1

Solve x^2 + 2x = −2x.

Add 2x to both sides: x^2 + 4x = 0.

Factor: x(x + 4) = 0.

So x = 0 or x = −4.

(Check: x=0 gives 0=0; x=−4 gives 16−8=8 and −2(−4)=8.)