Question

Ariel is trying to determine if x=−3 is a solution to the quadratic equation −3x2−9x=0.

Answer 1

Substitute x = −3:

-3(−3)^2 − 9(−3) = −3(9) + 27 = −27 + 27 = 0.

So yes, x = −3 is a solution. (Alternatively, factor: −3x^2 − 9x = −3x(x + 3) = 0, giving x = 0 or x = −3.)