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Simplifying z2 + -10z + 25 = 25 Reorder the terms: 25 + -10z + z2 = 25 Add '-25' to each side of the equation. 25 + -10z + -25 + z2 = 25 + -25 Reorder the terms: 25 + -25 + -10z + z2 = 25 + -25 Combine like terms: 25 + -25 = 0 0 + -10z + z2 = 25 + -25 -10z + z2 = 25 + -25 Combine like terms: 25 + -25 = 0 -10z + z2 = 0 Solving -10z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-10 + 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 '(-10 + z)' equal to zero and attempt to solve: Simplifying -10 + z = 0 Solving -10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + z = 0 + 10 z = 0 + 10 Combine like terms: 0 + 10 = 10 z = 10 Simplifying z = 10Solution
z = {0, 10}
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