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Simplifying -14z2 = 14z Solving -14z2 = 14z Solving for variable 'z'. Reorder the terms: -14z + -14z2 = 14z + -14z Combine like terms: 14z + -14z = 0 -14z + -14z2 = 0 Factor out the Greatest Common Factor (GCF), '-14z'. -14z(1 + 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 '(1 + z)' equal to zero and attempt to solve: Simplifying 1 + z = 0 Solving 1 + z = 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 + z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z = 0 + -1 z = 0 + -1 Combine like terms: 0 + -1 = -1 z = -1 Simplifying z = -1Solution
z = {0, -1}
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