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Simplifying 5d2 + -22d = -8 Reorder the terms: -22d + 5d2 = -8 Solving -22d + 5d2 = -8 Solving for variable 'd'. Reorder the terms: 8 + -22d + 5d2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -22d + 5d2 = 0 Factor a trinomial. (2 + -5d)(4 + -1d) = 0Subproblem 1
Set the factor '(2 + -5d)' equal to zero and attempt to solve: Simplifying 2 + -5d = 0 Solving 2 + -5d = 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 + -5d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5d = 0 + -2 -5d = 0 + -2 Combine like terms: 0 + -2 = -2 -5d = -2 Divide each side by '-5'. d = 0.4 Simplifying d = 0.4Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 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 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Solution
d = {0.4, 4}
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