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Simplifying 14z2 + -3z + -2 = 0 Reorder the terms: -2 + -3z + 14z2 = 0 Solving -2 + -3z + 14z2 = 0 Solving for variable 'z'. Factor a trinomial. (-2 + -7z)(1 + -2z) = 0Subproblem 1
Set the factor '(-2 + -7z)' equal to zero and attempt to solve: Simplifying -2 + -7z = 0 Solving -2 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7z = 0 + 2 -7z = 0 + 2 Combine like terms: 0 + 2 = 2 -7z = 2 Divide each side by '-7'. z = -0.2857142857 Simplifying z = -0.2857142857Subproblem 2
Set the factor '(1 + -2z)' equal to zero and attempt to solve: Simplifying 1 + -2z = 0 Solving 1 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = 0 + -1 -2z = 0 + -1 Combine like terms: 0 + -1 = -1 -2z = -1 Divide each side by '-2'. z = 0.5 Simplifying z = 0.5Solution
z = {-0.2857142857, 0.5}
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