Question
Solve for y. (4y+36)(y^{2}-4)=0 (If there is more than one solution, separate them with commas.)
Ask by Mccoy Carlson.
Mar 17,2025 16:03
UpStudy AI Solution
Tutor-Verified Answer
Answer
The solutions are y=-9, y=-2, y=2.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To solve the equation \( (4y + 36)(y^2 - 4) = 0 \), we need to set each factor equal to zero.
First, for the factor \( 4y + 36 = 0 \):
\[
4y = -36 \\
y = -9
\]
Next, for the factor \( y^2 - 4 = 0 \):
\[
y^2 = 4 \\
y = 2 \quad \text{or} \quad y = -2
\]
Thus, the complete solutions are:
\[
y = -9, 2, -2
\]
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