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Simplifying -14d + 8 = 15d2 Reorder the terms: 8 + -14d = 15d2 Solving 8 + -14d = 15d2 Solving for variable 'd'. Combine like terms: 15d2 + -15d2 = 0 8 + -14d + -15d2 = 0 Factor a trinomial. (2 + -5d)(4 + 3d) = 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 + 3d)' equal to zero and attempt to solve: Simplifying 4 + 3d = 0 Solving 4 + 3d = 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 + 3d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3d = 0 + -4 3d = 0 + -4 Combine like terms: 0 + -4 = -4 3d = -4 Divide each side by '3'. d = -1.333333333 Simplifying d = -1.333333333Solution
d = {0.4, -1.333333333}
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