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Simplifying -42z2 = 24z Solving -42z2 = 24z Solving for variable 'z'. Reorder the terms: -24z + -42z2 = 24z + -24z Combine like terms: 24z + -24z = 0 -24z + -42z2 = 0 Factor out the Greatest Common Factor (GCF), '-6z'. -6z(4 + 7z) = 0 Ignore the factor -6.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 '(4 + 7z)' equal to zero and attempt to solve: Simplifying 4 + 7z = 0 Solving 4 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7z = 0 + -4 7z = 0 + -4 Combine like terms: 0 + -4 = -4 7z = -4 Divide each side by '7'. z = -0.5714285714 Simplifying z = -0.5714285714Solution
z = {0, -0.5714285714}
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