To solve the quadratic equation \( 4x^2 = 64 \), we can first simplify it.
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Divide both sides by 4: \[ x^2 = 16 \]
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Now, take the square root of both sides: \[ x = \pm 4 \]
This means the solutions are: \[ x = -4 \quad \text{and} \quad x = 4 \]
Thus, the correct answer is: x = −4 and x = 4.