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Simplifying 14z2 + 11z + -3 = 0 Reorder the terms: -3 + 11z + 14z2 = 0 Solving -3 + 11z + 14z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -1z)(3 + -14z) = 0Subproblem 1
Set the factor '(-1 + -1z)' equal to zero and attempt to solve: Simplifying -1 + -1z = 0 Solving -1 + -1z = 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 + -1z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1z = 0 + 1 -1z = 0 + 1 Combine like terms: 0 + 1 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1Subproblem 2
Set the factor '(3 + -14z)' equal to zero and attempt to solve: Simplifying 3 + -14z = 0 Solving 3 + -14z = 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 + -14z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14z = 0 + -3 -14z = 0 + -3 Combine like terms: 0 + -3 = -3 -14z = -3 Divide each side by '-14'. z = 0.2142857143 Simplifying z = 0.2142857143Solution
z = {-1, 0.2142857143}
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