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Simplifying 15d2 + -16d + -48 = 0 Reorder the terms: -48 + -16d + 15d2 = 0 Solving -48 + -16d + 15d2 = 0 Solving for variable 'd'. Factor a trinomial. (-4 + -3d)(12 + -5d) = 0Subproblem 1
Set the factor '(-4 + -3d)' equal to zero and attempt to solve: Simplifying -4 + -3d = 0 Solving -4 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3d = 0 + 4 -3d = 0 + 4 Combine like terms: 0 + 4 = 4 -3d = 4 Divide each side by '-3'. d = -1.333333333 Simplifying d = -1.333333333Subproblem 2
Set the factor '(12 + -5d)' equal to zero and attempt to solve: Simplifying 12 + -5d = 0 Solving 12 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5d = 0 + -12 -5d = 0 + -12 Combine like terms: 0 + -12 = -12 -5d = -12 Divide each side by '-5'. d = 2.4 Simplifying d = 2.4Solution
d = {-1.333333333, 2.4}
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