To solve the equation \(-x^3 = 216\), follow these steps:
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Isolate \(x^3\): \[ x^3 = -216 \]
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Take the cube root of both sides: \[ x = \sqrt[3]{-216} \]
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Calculate the cube root: The cube root of \(-216\) is \(-6\), because \((-6)^3 = -216\).
Thus, the solution is: \[ x = -6 \]
So the answer is \(x = -6\).
The notation "±6" isn't applicable here since a cube root can be negative, but it doesn't indicate two potential solutions as with square roots.
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