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Simplifying -2d2 + 13d + -6 = 0 Reorder the terms: -6 + 13d + -2d2 = 0 Solving -6 + 13d + -2d2 = 0 Solving for variable 'd'. Factor a trinomial. (-6 + d)(1 + -2d) = 0Subproblem 1
Set the factor '(-6 + d)' equal to zero and attempt to solve: Simplifying -6 + d = 0 Solving -6 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + d = 0 + 6 d = 0 + 6 Combine like terms: 0 + 6 = 6 d = 6 Simplifying d = 6Subproblem 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 = {6, 0.5}
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