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Simplifying z2 = 2.5z Solving z2 = 2.5z Solving for variable 'z'. Reorder the terms: -2.5z + z2 = 2.5z + -2.5z Combine like terms: 2.5z + -2.5z = 0.0 -2.5z + z2 = 0.0 Factor out the Greatest Common Factor (GCF), 'z'. z(-2.5 + z) = 0.0Subproblem 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 '(-2.5 + z)' equal to zero and attempt to solve: Simplifying -2.5 + z = 0 Solving -2.5 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + z = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + z = 0 + 2.5 z = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 z = 2.5 Simplifying z = 2.5Solution
z = {0, 2.5}
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