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Simplifying 15d2 + 22d = -8 Reorder the terms: 22d + 15d2 = -8 Solving 22d + 15d2 = -8 Solving for variable 'd'. Reorder the terms: 8 + 22d + 15d2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 22d + 15d2 = 0 Factor a trinomial. (4 + 5d)(2 + 3d) = 0Subproblem 1
Set the factor '(4 + 5d)' equal to zero and attempt to solve: Simplifying 4 + 5d = 0 Solving 4 + 5d = 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 + 5d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5d = 0 + -4 5d = 0 + -4 Combine like terms: 0 + -4 = -4 5d = -4 Divide each side by '5'. d = -0.8 Simplifying d = -0.8Subproblem 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 = {-0.8, -0.6666666667}
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