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Simplifying 2d2 + -5d = 25 Reorder the terms: -5d + 2d2 = 25 Solving -5d + 2d2 = 25 Solving for variable 'd'. Reorder the terms: -25 + -5d + 2d2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + -5d + 2d2 = 0 Factor a trinomial. (-5 + -2d)(5 + -1d) = 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 + -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 = 5Solution
d = {-2.5, 5}
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