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Simplifying 12d3 + -8d2 + -15d = 0 Reorder the terms: -15d + -8d2 + 12d3 = 0 Solving -15d + -8d2 + 12d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-15 + -8d + 12d2) = 0 Factor a trinomial. d((-5 + -6d)(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 '(-5 + -6d)' equal to zero and attempt to solve: Simplifying -5 + -6d = 0 Solving -5 + -6d = 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 + -6d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6d = 0 + 5 -6d = 0 + 5 Combine like terms: 0 + 5 = 5 -6d = 5 Divide each side by '-6'. d = -0.8333333333 Simplifying d = -0.8333333333Subproblem 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, -0.8333333333, 1.5}
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