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Simplifying -4z2 = 14z Solving -4z2 = 14z Solving for variable 'z'. Reorder the terms: -14z + -4z2 = 14z + -14z Combine like terms: 14z + -14z = 0 -14z + -4z2 = 0 Factor out the Greatest Common Factor (GCF), '-2z'. -2z(7 + 2z) = 0 Ignore the factor -2.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 '(7 + 2z)' equal to zero and attempt to solve: Simplifying 7 + 2z = 0 Solving 7 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = 0 + -7 2z = 0 + -7 Combine like terms: 0 + -7 = -7 2z = -7 Divide each side by '2'. z = -3.5 Simplifying z = -3.5Solution
z = {0, -3.5}
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