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Simplifying 4z3 + 52z = 0 Reorder the terms: 52z + 4z3 = 0 Solving 52z + 4z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(13 + z2) = 0 Ignore the factor 4.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 '(13 + z2)' equal to zero and attempt to solve: Simplifying 13 + z2 = 0 Solving 13 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + z2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + z2 = 0 + -13 z2 = 0 + -13 Combine like terms: 0 + -13 = -13 z2 = -13 Simplifying z2 = -13 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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