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Simplifying 8z(7z + 8) = 0 Reorder the terms: 8z(8 + 7z) = 0 (8 * 8z + 7z * 8z) = 0 (64z + 56z2) = 0 Solving 64z + 56z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '8z'. 8z(8 + 7z) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(8 + 7z)' equal to zero and attempt to solve: Simplifying 8 + 7z = 0 Solving 8 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = 0 + -8 7z = 0 + -8 Combine like terms: 0 + -8 = -8 7z = -8 Divide each side by '7'. z = -1.142857143 Simplifying z = -1.142857143Solution
z = {0, -1.142857143}
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