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Simplifying 14z2 = 42z Solving 14z2 = 42z Solving for variable 'z'. Reorder the terms: -42z + 14z2 = 42z + -42z Combine like terms: 42z + -42z = 0 -42z + 14z2 = 0 Factor out the Greatest Common Factor (GCF), '14z'. 14z(-3 + z) = 0 Ignore the factor 14.Subproblem 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 '(-3 + z)' equal to zero and attempt to solve: Simplifying -3 + z = 0 Solving -3 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + z = 0 + 3 z = 0 + 3 Combine like terms: 0 + 3 = 3 z = 3 Simplifying z = 3Solution
z = {0, 3}
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