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Simplifying 24(z * z) + -46z + 15 = 0 Multiply z * z 24(z2) + -46z + 15 = 0 Reorder the terms: 15 + -46z + 24z2 = 0 Solving 15 + -46z + 24z2 = 0 Solving for variable 'z'. Factor a trinomial. (5 + -12z)(3 + -2z) = 0Subproblem 1
Set the factor '(5 + -12z)' equal to zero and attempt to solve: Simplifying 5 + -12z = 0 Solving 5 + -12z = 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 + -12z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12z = 0 + -5 -12z = 0 + -5 Combine like terms: 0 + -5 = -5 -12z = -5 Divide each side by '-12'. z = 0.4166666667 Simplifying z = 0.4166666667Subproblem 2
Set the factor '(3 + -2z)' equal to zero and attempt to solve: Simplifying 3 + -2z = 0 Solving 3 + -2z = 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 + -2z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 0 + -3 -2z = 0 + -3 Combine like terms: 0 + -3 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5Solution
z = {0.4166666667, 1.5}
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