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Simplifying 9z5 = 27z3 Solving 9z5 = 27z3 Solving for variable 'z'. Reorder the terms: -27z3 + 9z5 = 27z3 + -27z3 Combine like terms: 27z3 + -27z3 = 0 -27z3 + 9z5 = 0 Factor out the Greatest Common Factor (GCF), '9z3'. 9z3(-3 + z2) = 0 Ignore the factor 9.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 '(-3 + z2)' equal to zero and attempt to solve: Simplifying -3 + z2 = 0 Solving -3 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + z2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + z2 = 0 + 3 z2 = 0 + 3 Combine like terms: 0 + 3 = 3 z2 = 3 Simplifying z2 = 3 Take the square root of each side: z = {-1.732050808, 1.732050808}Solution
z = {-1.732050808, 1.732050808}
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