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Simplifying (3z2 + -8)(3z2 + 8) = 0 Reorder the terms: (-8 + 3z2)(3z2 + 8) = 0 Reorder the terms: (-8 + 3z2)(8 + 3z2) = 0 Multiply (-8 + 3z2) * (8 + 3z2) (-8(8 + 3z2) + 3z2 * (8 + 3z2)) = 0 ((8 * -8 + 3z2 * -8) + 3z2 * (8 + 3z2)) = 0 ((-64 + -24z2) + 3z2 * (8 + 3z2)) = 0 (-64 + -24z2 + (8 * 3z2 + 3z2 * 3z2)) = 0 (-64 + -24z2 + (24z2 + 9z4)) = 0 Combine like terms: -24z2 + 24z2 = 0 (-64 + 0 + 9z4) = 0 (-64 + 9z4) = 0 Solving -64 + 9z4 = 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 + 9z4 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 9z4 = 0 + 64 9z4 = 0 + 64 Combine like terms: 0 + 64 = 64 9z4 = 64 Divide each side by '9'. z4 = 7.111111111 Simplifying z4 = 7.111111111 Reorder the terms: -7.111111111 + z4 = 7.111111111 + -7.111111111 Combine like terms: 7.111111111 + -7.111111111 = 0.000000000 -7.111111111 + z4 = 0.000000000 The solution to this equation could not be determined.
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