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Simplifying 35z2 + -18z + -5 = 0 Reorder the terms: -5 + -18z + 35z2 = 0 Solving -5 + -18z + 35z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -5z)(5 + -7z) = 0Subproblem 1
Set the factor '(-1 + -5z)' equal to zero and attempt to solve: Simplifying -1 + -5z = 0 Solving -1 + -5z = 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 + -5z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5z = 0 + 1 -5z = 0 + 1 Combine like terms: 0 + 1 = 1 -5z = 1 Divide each side by '-5'. z = -0.2 Simplifying z = -0.2Subproblem 2
Set the factor '(5 + -7z)' equal to zero and attempt to solve: Simplifying 5 + -7z = 0 Solving 5 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7z = 0 + -5 -7z = 0 + -5 Combine like terms: 0 + -5 = -5 -7z = -5 Divide each side by '-7'. z = 0.7142857143 Simplifying z = 0.7142857143Solution
z = {-0.2, 0.7142857143}
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