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Simplifying z2 + -12z = 0 Reorder the terms: -12z + z2 = 0 Solving -12z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. 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 = 12Solution
z = {0, 12}
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