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Simplifying -14z2 + 32z = 0 Reorder the terms: 32z + -14z2 = 0 Solving 32z + -14z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z'. 2z(16 + -7z) = 0 Ignore the factor 2.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 '(16 + -7z)' equal to zero and attempt to solve: Simplifying 16 + -7z = 0 Solving 16 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7z = 0 + -16 -7z = 0 + -16 Combine like terms: 0 + -16 = -16 -7z = -16 Divide each side by '-7'. z = 2.285714286 Simplifying z = 2.285714286Solution
z = {0, 2.285714286}
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