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Simplifying 25z3 + 60z2 = 0 Reorder the terms: 60z2 + 25z3 = 0 Solving 60z2 + 25z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z2'. 5z2(12 + 5z) = 0 Ignore the factor 5.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 '(12 + 5z)' equal to zero and attempt to solve: Simplifying 12 + 5z = 0 Solving 12 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5z = 0 + -12 5z = 0 + -12 Combine like terms: 0 + -12 = -12 5z = -12 Divide each side by '5'. z = -2.4 Simplifying z = -2.4Solution
z = {0, -2.4}
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