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Simplifying 84d2 + d + -15 = 0 Reorder the terms: -15 + d + 84d2 = 0 Solving -15 + d + 84d2 = 0 Solving for variable 'd'. Factor a trinomial. (-3 + -7d)(5 + -12d) = 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 '(5 + -12d)' equal to zero and attempt to solve: Simplifying 5 + -12d = 0 Solving 5 + -12d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12d = 0 + -5 -12d = 0 + -5 Combine like terms: 0 + -5 = -5 -12d = -5 Divide each side by '-12'. d = 0.4166666667 Simplifying d = 0.4166666667Solution
d = {-0.4285714286, 0.4166666667}
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