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Simplifying -63z2 + -17z + 20 = 0 Reorder the terms: 20 + -17z + -63z2 = 0 Solving 20 + -17z + -63z2 = 0 Solving for variable 'z'. Factor a trinomial. (4 + -9z)(5 + 7z) = 0Subproblem 1
Set the factor '(4 + -9z)' equal to zero and attempt to solve: Simplifying 4 + -9z = 0 Solving 4 + -9z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9z = 0 + -4 -9z = 0 + -4 Combine like terms: 0 + -4 = -4 -9z = -4 Divide each side by '-9'. z = 0.4444444444 Simplifying z = 0.4444444444Subproblem 2
Set the factor '(5 + 7z)' equal to zero and attempt to solve: Simplifying 5 + 7z = 0 Solving 5 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7z = 0 + -5 7z = 0 + -5 Combine like terms: 0 + -5 = -5 7z = -5 Divide each side by '7'. z = -0.7142857143 Simplifying z = -0.7142857143Solution
z = {0.4444444444, -0.7142857143}
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