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Simplifying z3 = 121z Solving z3 = 121z Solving for variable 'z'. Reorder the terms: -121z + z3 = 121z + -121z Combine like terms: 121z + -121z = 0 -121z + z3 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-121 + z2) = 0 Factor a difference between two squares. z((11 + z)(-11 + 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 '(11 + z)' equal to zero and attempt to solve: Simplifying 11 + z = 0 Solving 11 + z = 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 + z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + z = 0 + -11 z = 0 + -11 Combine like terms: 0 + -11 = -11 z = -11 Simplifying z = -11Subproblem 3
Set the factor '(-11 + z)' equal to zero and attempt to solve: Simplifying -11 + z = 0 Solving -11 + z = 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 + z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + z = 0 + 11 z = 0 + 11 Combine like terms: 0 + 11 = 11 z = 11 Simplifying z = 11Solution
z = {0, -11, 11}
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