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Simplifying 2z * 2z + 2 = 48 Reorder the terms for easier multiplication: 2 * 2z * z + 2 = 48 Multiply 2 * 2 4z * z + 2 = 48 Multiply z * z 4z2 + 2 = 48 Reorder the terms: 2 + 4z2 = 48 Solving 2 + 4z2 = 48 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4z2 = 48 + -2 Combine like terms: 2 + -2 = 0 0 + 4z2 = 48 + -2 4z2 = 48 + -2 Combine like terms: 48 + -2 = 46 4z2 = 46 Divide each side by '4'. z2 = 11.5 Simplifying z2 = 11.5 Take the square root of each side: z = {-3.391164992, 3.391164992}
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