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Simplifying 2d3 + 7d2 + 6d = 0 Reorder the terms: 6d + 7d2 + 2d3 = 0 Solving 6d + 7d2 + 2d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(6 + 7d + 2d2) = 0 Factor a trinomial. d((2 + d)(3 + 2d)) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 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 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Subproblem 3
Set the factor '(3 + 2d)' equal to zero and attempt to solve: Simplifying 3 + 2d = 0 Solving 3 + 2d = 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 + 2d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2d = 0 + -3 2d = 0 + -3 Combine like terms: 0 + -3 = -3 2d = -3 Divide each side by '2'. d = -1.5 Simplifying d = -1.5Solution
d = {0, -2, -1.5}
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