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Simplifying 4d2 + 15d + -25 = 0 Reorder the terms: -25 + 15d + 4d2 = 0 Solving -25 + 15d + 4d2 = 0 Solving for variable 'd'. Factor a trinomial. (-5 + -1d)(5 + -4d) = 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 '(5 + -4d)' equal to zero and attempt to solve: Simplifying 5 + -4d = 0 Solving 5 + -4d = 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 + -4d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4d = 0 + -5 -4d = 0 + -5 Combine like terms: 0 + -5 = -5 -4d = -5 Divide each side by '-4'. d = 1.25 Simplifying d = 1.25Solution
d = {-5, 1.25}
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