To solve the equation \((x + 6)^2 = 36\), we can proceed by taking the square root of both sides:
- Take the square root of both sides:
\[ x + 6 = \pm 6 \]
This gives us two separate equations to solve:
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Solve each equation:
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For the positive case: \[ x + 6 = 6 \] Subtract 6 from both sides: \[ x = 6 - 6 = 0 \]
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For the negative case: \[ x + 6 = -6 \] Subtract 6 from both sides: \[ x = -6 - 6 = -12 \]
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Therefore, the solutions to the equation \((x + 6)^2 = 36\) are:
\[ x = 0, -12 \]
So, in simplified form, the final answer is:
0, -12