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Simplifying -42z2 = 14z Solving -42z2 = 14z Solving for variable 'z'. Reorder the terms: -14z + -42z2 = 14z + -14z Combine like terms: 14z + -14z = 0 -14z + -42z2 = 0 Factor out the Greatest Common Factor (GCF), '-14z'. -14z(1 + 3z) = 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 '(1 + 3z)' equal to zero and attempt to solve: Simplifying 1 + 3z = 0 Solving 1 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 0 + -1 3z = 0 + -1 Combine like terms: 0 + -1 = -1 3z = -1 Divide each side by '3'. z = -0.3333333333 Simplifying z = -0.3333333333Solution
z = {0, -0.3333333333}
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