Question

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

Answer 1

To determine if \( x = -3 \) is a solution to the quadratic equation \( -3x^2 - 9x = 0 \), we need to substitute \( x = -3 \) into the equation and see if it holds true.

Starting with the equation:
\[
-3x^2 - 9x = 0
\]

Substituting \( x = -3 \):
\[
-3(-3)^2 - 9(-3) = 0
\]

Calculating \( (-3)^2 \):
\[
-3(9) - 9(-3) = 0
\]

Now simplify:
\[
-27 + 27 = 0
\]

This simplifies to:
\[
0 = 0
\]

Since both sides of the equation are equal, \( x = -3 \) is indeed a solution to the quadratic equation \( -3x^2 - 9x = 0 \).