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Simplifying 32z5 + 40z3 = 0 Reorder the terms: 40z3 + 32z5 = 0 Solving 40z3 + 32z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '8z3'. 8z3(5 + 4z2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve: Simplifying z3 = 0 Solving z3 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 4z2)' equal to zero and attempt to solve: Simplifying 5 + 4z2 = 0 Solving 5 + 4z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4z2 = 0 + -5 4z2 = 0 + -5 Combine like terms: 0 + -5 = -5 4z2 = -5 Divide each side by '4'. z2 = -1.25 Simplifying z2 = -1.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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