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Simplifying 24z + 35z2 + -35 = 0 Reorder the terms: -35 + 24z + 35z2 = 0 Solving -35 + 24z + 35z2 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -5z)(5 + -7z) = 0Subproblem 1
Set the factor '(-7 + -5z)' equal to zero and attempt to solve: Simplifying -7 + -5z = 0 Solving -7 + -5z = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5z = 0 + 7 -5z = 0 + 7 Combine like terms: 0 + 7 = 7 -5z = 7 Divide each side by '-5'. z = -1.4 Simplifying z = -1.4Subproblem 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 = {-1.4, 0.7142857143}
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