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Simplifying 14z2 + 57z + -27 = 0 Reorder the terms: -27 + 57z + 14z2 = 0 Solving -27 + 57z + 14z2 = 0 Solving for variable 'z'. Factor a trinomial. (-9 + -2z)(3 + -7z) = 0Subproblem 1
Set the factor '(-9 + -2z)' equal to zero and attempt to solve: Simplifying -9 + -2z = 0 Solving -9 + -2z = 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 + -2z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2z = 0 + 9 -2z = 0 + 9 Combine like terms: 0 + 9 = 9 -2z = 9 Divide each side by '-2'. z = -4.5 Simplifying z = -4.5Subproblem 2
Set the factor '(3 + -7z)' equal to zero and attempt to solve: Simplifying 3 + -7z = 0 Solving 3 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 0 + -3 -7z = 0 + -3 Combine like terms: 0 + -3 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286Solution
z = {-4.5, 0.4285714286}
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