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Simplifying -63z2 + -23z + 56 = 0 Reorder the terms: 56 + -23z + -63z2 = 0 Solving 56 + -23z + -63z2 = 0 Solving for variable 'z'. Factor a trinomial. (7 + -9z)(8 + 7z) = 0Subproblem 1
Set the factor '(7 + -9z)' equal to zero and attempt to solve: Simplifying 7 + -9z = 0 Solving 7 + -9z = 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 + -9z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9z = 0 + -7 -9z = 0 + -7 Combine like terms: 0 + -7 = -7 -9z = -7 Divide each side by '-9'. z = 0.7777777778 Simplifying z = 0.7777777778Subproblem 2
Set the factor '(8 + 7z)' equal to zero and attempt to solve: Simplifying 8 + 7z = 0 Solving 8 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = 0 + -8 7z = 0 + -8 Combine like terms: 0 + -8 = -8 7z = -8 Divide each side by '7'. z = -1.142857143 Simplifying z = -1.142857143Solution
z = {0.7777777778, -1.142857143}
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