To determine if \( x = -3 \) is a solution to the equation \( -3x - 9x = 0 \), we first simplify the left side of the equation.
Combine like terms:
\[ -3x - 9x = -12x \]
Now, we can rewrite the equation as:
\[ -12x = 0 \]
Next, we will substitute \( x = -3 \) into the equation and see if it holds true:
\[ -12(-3) = 0 \]
Calculating the left side:
\[ -12(-3) = 36 \]
Since \( 36 \neq 0 \), the equation does not hold true. Therefore, \( x = -3 \) is not a solution to the quadratic equation \( -3x - 9x = 0 \).
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