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Simplifying 0 = -5d2 + 37d + -14 Reorder the terms: 0 = -14 + 37d + -5d2 Solving 0 = -14 + 37d + -5d2 Solving for variable 'd'. Combine like terms: 0 + 14 = 14 14 + -37d + 5d2 = -14 + 37d + -5d2 + 14 + -37d + 5d2 Reorder the terms: 14 + -37d + 5d2 = -14 + 14 + 37d + -37d + -5d2 + 5d2 Combine like terms: -14 + 14 = 0 14 + -37d + 5d2 = 0 + 37d + -37d + -5d2 + 5d2 14 + -37d + 5d2 = 37d + -37d + -5d2 + 5d2 Combine like terms: 37d + -37d = 0 14 + -37d + 5d2 = 0 + -5d2 + 5d2 14 + -37d + 5d2 = -5d2 + 5d2 Combine like terms: -5d2 + 5d2 = 0 14 + -37d + 5d2 = 0 Factor a trinomial. (2 + -5d)(7 + -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 '(7 + -1d)' equal to zero and attempt to solve: Simplifying 7 + -1d = 0 Solving 7 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = 0 + -7 -1d = 0 + -7 Combine like terms: 0 + -7 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7Solution
d = {0.4, 7}
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