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Simplifying 40z2 + 39z + -40 = 0 Reorder the terms: -40 + 39z + 40z2 = 0 Solving -40 + 39z + 40z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + -5z)(5 + -8z) = 0Subproblem 1
Set the factor '(-8 + -5z)' equal to zero and attempt to solve: Simplifying -8 + -5z = 0 Solving -8 + -5z = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5z = 0 + 8 -5z = 0 + 8 Combine like terms: 0 + 8 = 8 -5z = 8 Divide each side by '-5'. z = -1.6 Simplifying z = -1.6Subproblem 2
Set the factor '(5 + -8z)' equal to zero and attempt to solve: Simplifying 5 + -8z = 0 Solving 5 + -8z = 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 + -8z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8z = 0 + -5 -8z = 0 + -5 Combine like terms: 0 + -5 = -5 -8z = -5 Divide each side by '-8'. z = 0.625 Simplifying z = 0.625Solution
z = {-1.6, 0.625}
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