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Simplifying -2d2 + -9d + -9 = 0 Reorder the terms: -9 + -9d + -2d2 = 0 Solving -9 + -9d + -2d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 9d + 2d2) = 0 Factor a trinomial. -1((3 + d)(3 + 2d)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + d)' equal to zero and attempt to solve: Simplifying 3 + d = 0 Solving 3 + d = 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 + d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + d = 0 + -3 d = 0 + -3 Combine like terms: 0 + -3 = -3 d = -3 Simplifying d = -3Subproblem 2
Set the factor '(3 + 2d)' equal to zero and attempt to solve: Simplifying 3 + 2d = 0 Solving 3 + 2d = 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 + 2d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2d = 0 + -3 2d = 0 + -3 Combine like terms: 0 + -3 = -3 2d = -3 Divide each side by '2'. d = -1.5 Simplifying d = -1.5Solution
d = {-3, -1.5}
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