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Simplifying 15z2 + -16z + -15 = 0 Reorder the terms: -15 + -16z + 15z2 = 0 Solving -15 + -16z + 15z2 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + -5z)(5 + -3z) = 0Subproblem 1
Set the factor '(-3 + -5z)' equal to zero and attempt to solve: Simplifying -3 + -5z = 0 Solving -3 + -5z = 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 + -5z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5z = 0 + 3 -5z = 0 + 3 Combine like terms: 0 + 3 = 3 -5z = 3 Divide each side by '-5'. z = -0.6 Simplifying z = -0.6Subproblem 2
Set the factor '(5 + -3z)' equal to zero and attempt to solve: Simplifying 5 + -3z = 0 Solving 5 + -3z = 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 + -3z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = 0 + -5 -3z = 0 + -5 Combine like terms: 0 + -5 = -5 -3z = -5 Divide each side by '-3'. z = 1.666666667 Simplifying z = 1.666666667Solution
z = {-0.6, 1.666666667}
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