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Simplifying 7d2 + 11d + -6 = 0 Reorder the terms: -6 + 11d + 7d2 = 0 Solving -6 + 11d + 7d2 = 0 Solving for variable 'd'. Factor a trinomial. (-2 + -1d)(3 + -7d) = 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 '(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 = 0.4285714286Solution
d = {-2, 0.4285714286}
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