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Simplifying -43z2 = 14z Solving -43z2 = 14z Solving for variable 'z'. Reorder the terms: -14z + -43z2 = 14z + -14z Combine like terms: 14z + -14z = 0 -14z + -43z2 = 0 Factor out the Greatest Common Factor (GCF), '-1z'. -1z(14 + 43z) = 0 Ignore the factor -1.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 '(14 + 43z)' equal to zero and attempt to solve: Simplifying 14 + 43z = 0 Solving 14 + 43z = 0 Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 43z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 43z = 0 + -14 43z = 0 + -14 Combine like terms: 0 + -14 = -14 43z = -14 Divide each side by '43'. z = -0.3255813953 Simplifying z = -0.3255813953Solution
z = {0, -0.3255813953}
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