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Simplifying -32z + 63z2 + -63 = 0 Reorder the terms: -63 + -32z + 63z2 = 0 Solving -63 + -32z + 63z2 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -9z)(9 + -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 '(9 + -7z)' equal to zero and attempt to solve: Simplifying 9 + -7z = 0 Solving 9 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7z = 0 + -9 -7z = 0 + -9 Combine like terms: 0 + -9 = -9 -7z = -9 Divide each side by '-7'. z = 1.285714286 Simplifying z = 1.285714286Solution
z = {-0.7777777778, 1.285714286}
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