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Simplifying 4d(d) + 7d + -2 = 0 Multiply d * d 4d2 + 7d + -2 = 0 Reorder the terms: -2 + 7d + 4d2 = 0 Solving -2 + 7d + 4d2 = 0 Solving for variable 'd'. Factor a trinomial. (-2 + -1d)(1 + -4d) = 0Subproblem 1
Set the factor '(-2 + -1d)' equal to zero and attempt to solve: Simplifying -2 + -1d = 0 Solving -2 + -1d = 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 + -1d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 0 + 2 -1d = 0 + 2 Combine like terms: 0 + 2 = 2 -1d = 2 Divide each side by '-1'. d = -2 Simplifying d = -2Subproblem 2
Set the factor '(1 + -4d)' equal to zero and attempt to solve: Simplifying 1 + -4d = 0 Solving 1 + -4d = 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 + -4d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4d = 0 + -1 -4d = 0 + -1 Combine like terms: 0 + -1 = -1 -4d = -1 Divide each side by '-4'. d = 0.25 Simplifying d = 0.25Solution
d = {-2, 0.25}
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