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