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Simplifying 15z3 + -11z2 = 0 Reorder the terms: -11z2 + 15z3 = 0 Solving -11z2 + 15z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z2'. z2(-11 + 15z) = 0Subproblem 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 '(-11 + 15z)' equal to zero and attempt to solve: Simplifying -11 + 15z = 0 Solving -11 + 15z = 0 Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 15z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 15z = 0 + 11 15z = 0 + 11 Combine like terms: 0 + 11 = 11 15z = 11 Divide each side by '15'. z = 0.7333333333 Simplifying z = 0.7333333333Solution
z = {0, 0.7333333333}
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