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Simplifying -3d = 14 + -2d2 Solving -3d = 14 + -2d2 Solving for variable 'd'. Reorder the terms: -14 + -3d + 2d2 = 14 + -2d2 + -14 + 2d2 Reorder the terms: -14 + -3d + 2d2 = 14 + -14 + -2d2 + 2d2 Combine like terms: 14 + -14 = 0 -14 + -3d + 2d2 = 0 + -2d2 + 2d2 -14 + -3d + 2d2 = -2d2 + 2d2 Combine like terms: -2d2 + 2d2 = 0 -14 + -3d + 2d2 = 0 Factor a trinomial. (-2 + -1d)(7 + -2d) = 0Subproblem 1
Set the factor '(-2 + -1d)' equal to zero and attempt to solve: Simplifying -2 + -1d = 0 Solving -2 + -1d = 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 + -1d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 0 + 2 -1d = 0 + 2 Combine like terms: 0 + 2 = 2 -1d = 2 Divide each side by '-1'. d = -2 Simplifying d = -2Subproblem 2
Set the factor '(7 + -2d)' equal to zero and attempt to solve: Simplifying 7 + -2d = 0 Solving 7 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2d = 0 + -7 -2d = 0 + -7 Combine like terms: 0 + -7 = -7 -2d = -7 Divide each side by '-2'. d = 3.5 Simplifying d = 3.5Solution
d = {-2, 3.5}
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