Question
Ariel is trying to determine if x = -3 is a solution to the quadratic equation negative 3x - 9x = 0
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Answered by
GPT-4o mini
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 \( -3x - 9x = 0 \).
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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