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Simplifying 2d2 + 15d = 8 Reorder the terms: 15d + 2d2 = 8 Solving 15d + 2d2 = 8 Solving for variable 'd'. Reorder the terms: -8 + 15d + 2d2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 15d + 2d2 = 0 Factor a trinomial. (-8 + -1d)(1 + -2d) = 0Subproblem 1
Set the factor '(-8 + -1d)' equal to zero and attempt to solve: Simplifying -8 + -1d = 0 Solving -8 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1d = 0 + 8 -1d = 0 + 8 Combine like terms: 0 + 8 = 8 -1d = 8 Divide each side by '-1'. d = -8 Simplifying d = -8Subproblem 2
Set the factor '(1 + -2d)' equal to zero and attempt to solve: Simplifying 1 + -2d = 0 Solving 1 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2d = 0 + -1 -2d = 0 + -1 Combine like terms: 0 + -1 = -1 -2d = -1 Divide each side by '-2'. d = 0.5 Simplifying d = 0.5Solution
d = {-8, 0.5}
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