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Simplifying 36d2 + 5d + -24 = 0 Reorder the terms: -24 + 5d + 36d2 = 0 Solving -24 + 5d + 36d2 = 0 Solving for variable 'd'. Factor a trinomial. (-8 + -9d)(3 + -4d) = 0Subproblem 1
Set the factor '(-8 + -9d)' equal to zero and attempt to solve: Simplifying -8 + -9d = 0 Solving -8 + -9d = 0 Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9d = 0 + 8 -9d = 0 + 8 Combine like terms: 0 + 8 = 8 -9d = 8 Divide each side by '-9'. d = -0.8888888889 Simplifying d = -0.8888888889Subproblem 2
Set the factor '(3 + -4d)' equal to zero and attempt to solve: Simplifying 3 + -4d = 0 Solving 3 + -4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4d = 0 + -3 -4d = 0 + -3 Combine like terms: 0 + -3 = -3 -4d = -3 Divide each side by '-4'. d = 0.75 Simplifying d = 0.75Solution
d = {-0.8888888889, 0.75}
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