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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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