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Simplifying 0 = -3d2 + 10 + -13d Reorder the terms: 0 = 10 + -13d + -3d2 Solving 0 = 10 + -13d + -3d2 Solving for variable 'd'. Combine like terms: 0 + -10 = -10 -10 + 13d + 3d2 = 10 + -13d + -3d2 + -10 + 13d + 3d2 Reorder the terms: -10 + 13d + 3d2 = 10 + -10 + -13d + 13d + -3d2 + 3d2 Combine like terms: 10 + -10 = 0 -10 + 13d + 3d2 = 0 + -13d + 13d + -3d2 + 3d2 -10 + 13d + 3d2 = -13d + 13d + -3d2 + 3d2 Combine like terms: -13d + 13d = 0 -10 + 13d + 3d2 = 0 + -3d2 + 3d2 -10 + 13d + 3d2 = -3d2 + 3d2 Combine like terms: -3d2 + 3d2 = 0 -10 + 13d + 3d2 = 0 Factor a trinomial. (-5 + -1d)(2 + -3d) = 0Subproblem 1
Set the factor '(-5 + -1d)' equal to zero and attempt to solve: Simplifying -5 + -1d = 0 Solving -5 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1d = 0 + 5 -1d = 0 + 5 Combine like terms: 0 + 5 = 5 -1d = 5 Divide each side by '-1'. d = -5 Simplifying d = -5Subproblem 2
Set the factor '(2 + -3d)' equal to zero and attempt to solve: Simplifying 2 + -3d = 0 Solving 2 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3d = 0 + -2 -3d = 0 + -2 Combine like terms: 0 + -2 = -2 -3d = -2 Divide each side by '-3'. d = 0.6666666667 Simplifying d = 0.6666666667Solution
d = {-5, 0.6666666667}
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