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Simplifying z3 = 144z Solving z3 = 144z Solving for variable 'z'. Reorder the terms: -144z + z3 = 144z + -144z Combine like terms: 144z + -144z = 0 -144z + z3 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-144 + z2) = 0 Factor a difference between two squares. z((12 + z)(-12 + z)) = 0Subproblem 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 '(12 + z)' equal to zero and attempt to solve: Simplifying 12 + z = 0 Solving 12 + z = 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 + z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + z = 0 + -12 z = 0 + -12 Combine like terms: 0 + -12 = -12 z = -12 Simplifying z = -12Subproblem 3
Set the factor '(-12 + z)' equal to zero and attempt to solve: Simplifying -12 + z = 0 Solving -12 + z = 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 + z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + z = 0 + 12 z = 0 + 12 Combine like terms: 0 + 12 = 12 z = 12 Simplifying z = 12Solution
z = {0, -12, 12}
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