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Simplifying 14z2 + 77z = 0 Reorder the terms: 77z + 14z2 = 0 Solving 77z + 14z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '7z'. 7z(11 + 2z) = 0 Ignore the factor 7.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 '(11 + 2z)' equal to zero and attempt to solve: Simplifying 11 + 2z = 0 Solving 11 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2z = 0 + -11 2z = 0 + -11 Combine like terms: 0 + -11 = -11 2z = -11 Divide each side by '2'. z = -5.5 Simplifying z = -5.5Solution
z = {0, -5.5}
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