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Simplifying 5d2 + -12d + -9 = 0 Reorder the terms: -9 + -12d + 5d2 = 0 Solving -9 + -12d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (-3 + -5d)(3 + -1d) = 0Subproblem 1
Set the factor '(-3 + -5d)' equal to zero and attempt to solve: Simplifying -3 + -5d = 0 Solving -3 + -5d = 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 + -5d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5d = 0 + 3 -5d = 0 + 3 Combine like terms: 0 + 3 = 3 -5d = 3 Divide each side by '-5'. d = -0.6 Simplifying d = -0.6Subproblem 2
Set the factor '(3 + -1d)' equal to zero and attempt to solve: Simplifying 3 + -1d = 0 Solving 3 + -1d = 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 + -1d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1d = 0 + -3 -1d = 0 + -3 Combine like terms: 0 + -3 = -3 -1d = -3 Divide each side by '-1'. d = 3 Simplifying d = 3Solution
d = {-0.6, 3}
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