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Simplifying 28d2 + 5d + -3 = 0 Reorder the terms: -3 + 5d + 28d2 = 0 Solving -3 + 5d + 28d2 = 0 Solving for variable 'd'. Factor a trinomial. (-3 + -7d)(1 + -4d) = 0Subproblem 1
Set the factor '(-3 + -7d)' equal to zero and attempt to solve: Simplifying -3 + -7d = 0 Solving -3 + -7d = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7d = 0 + 3 -7d = 0 + 3 Combine like terms: 0 + 3 = 3 -7d = 3 Divide each side by '-7'. d = -0.4285714286 Simplifying d = -0.4285714286Subproblem 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 = {-0.4285714286, 0.25}
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