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Simplifying 9z5 = 576z2 Solving 9z5 = 576z2 Solving for variable 'z'. Reorder the terms: -576z2 + 9z5 = 576z2 + -576z2 Combine like terms: 576z2 + -576z2 = 0 -576z2 + 9z5 = 0 Factor out the Greatest Common Factor (GCF), '9z2'. 9z2(-64 + z3) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(-64 + z3)' equal to zero and attempt to solve: Simplifying -64 + z3 = 0 Solving -64 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + z3 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + z3 = 0 + 64 z3 = 0 + 64 Combine like terms: 0 + 64 = 64 z3 = 64 Simplifying z3 = 64 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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