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Simplifying 6d3 + 7d2 + -10d = 0 Reorder the terms: -10d + 7d2 + 6d3 = 0 Solving -10d + 7d2 + 6d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-10 + 7d + 6d2) = 0 Factor a trinomial. d((-2 + -1d)(5 + -6d)) = 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 + -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 3
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 = 0.8333333333Solution
d = {0, -2, 0.8333333333}
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