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Simplifying (z + 8)(z + -8) = 0 Reorder the terms: (8 + z)(z + -8) = 0 Reorder the terms: (8 + z)(-8 + z) = 0 Multiply (8 + z) * (-8 + z) (8(-8 + z) + z(-8 + z)) = 0 ((-8 * 8 + z * 8) + z(-8 + z)) = 0 ((-64 + 8z) + z(-8 + z)) = 0 (-64 + 8z + (-8 * z + z * z)) = 0 (-64 + 8z + (-8z + z2)) = 0 Combine like terms: 8z + -8z = 0 (-64 + 0 + z2) = 0 (-64 + z2) = 0 Solving -64 + z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + z2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + z2 = 0 + 64 z2 = 0 + 64 Combine like terms: 0 + 64 = 64 z2 = 64 Simplifying z2 = 64 Take the square root of each side: z = {-8, 8}
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