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Simplifying 14z2 + -29z + 12 = 0 Reorder the terms: 12 + -29z + 14z2 = 0 Solving 12 + -29z + 14z2 = 0 Solving for variable 'z'. Factor a trinomial. (4 + -7z)(3 + -2z) = 0Subproblem 1
Set the factor '(4 + -7z)' equal to zero and attempt to solve: Simplifying 4 + -7z = 0 Solving 4 + -7z = 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 + -7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 0 + -4 -7z = 0 + -4 Combine like terms: 0 + -4 = -4 -7z = -4 Divide each side by '-7'. z = 0.5714285714 Simplifying z = 0.5714285714Subproblem 2
Set the factor '(3 + -2z)' equal to zero and attempt to solve: Simplifying 3 + -2z = 0 Solving 3 + -2z = 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 + -2z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 0 + -3 -2z = 0 + -3 Combine like terms: 0 + -3 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5Solution
z = {0.5714285714, 1.5}
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