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Simplifying 12d2 + 40d + 25 = 0 Reorder the terms: 25 + 40d + 12d2 = 0 Solving 25 + 40d + 12d2 = 0 Solving for variable 'd'. Factor a trinomial. (5 + 2d)(5 + 6d) = 0Subproblem 1
Set the factor '(5 + 2d)' equal to zero and attempt to solve: Simplifying 5 + 2d = 0 Solving 5 + 2d = 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 + 2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 0 + -5 2d = 0 + -5 Combine like terms: 0 + -5 = -5 2d = -5 Divide each side by '2'. d = -2.5 Simplifying d = -2.5Subproblem 2
Set the factor '(5 + 6d)' equal to zero and attempt to solve: Simplifying 5 + 6d = 0 Solving 5 + 6d = 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 + 6d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = 0 + -5 6d = 0 + -5 Combine like terms: 0 + -5 = -5 6d = -5 Divide each side by '6'. d = -0.8333333333 Simplifying d = -0.8333333333Solution
d = {-2.5, -0.8333333333}
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