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Simplifying 14z2 + 33z = 0 Reorder the terms: 33z + 14z2 = 0 Solving 33z + 14z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(33 + 14z) = 0Subproblem 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 '(33 + 14z)' equal to zero and attempt to solve: Simplifying 33 + 14z = 0 Solving 33 + 14z = 0 Move all terms containing z to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 14z = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 14z = 0 + -33 14z = 0 + -33 Combine like terms: 0 + -33 = -33 14z = -33 Divide each side by '14'. z = -2.357142857 Simplifying z = -2.357142857Solution
z = {0, -2.357142857}
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