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Simplifying 15z2 + 11z + -12 = 0 Reorder the terms: -12 + 11z + 15z2 = 0 Solving -12 + 11z + 15z2 = 0 Solving for variable 'z'. Factor a trinomial. (-4 + -3z)(3 + -5z) = 0Subproblem 1
Set the factor '(-4 + -3z)' equal to zero and attempt to solve: Simplifying -4 + -3z = 0 Solving -4 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 0 + 4 -3z = 0 + 4 Combine like terms: 0 + 4 = 4 -3z = 4 Divide each side by '-3'. z = -1.333333333 Simplifying z = -1.333333333Subproblem 2
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 = 0.6Solution
z = {-1.333333333, 0.6}
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