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Simplifying 15z3 + -60z2 = 0 Reorder the terms: -60z2 + 15z3 = 0 Solving -60z2 + 15z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '15z2'. 15z2(-4 + z) = 0 Ignore the factor 15.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 '(-4 + z)' equal to zero and attempt to solve: Simplifying -4 + z = 0 Solving -4 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + z = 0 + 4 z = 0 + 4 Combine like terms: 0 + 4 = 4 z = 4 Simplifying z = 4Solution
z = {0, 4}
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