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Simplifying 4d3 + -35d2 = 9d Reorder the terms: -35d2 + 4d3 = 9d Solving -35d2 + 4d3 = 9d Solving for variable 'd'. Reorder the terms: -9d + -35d2 + 4d3 = 9d + -9d Combine like terms: 9d + -9d = 0 -9d + -35d2 + 4d3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-9 + -35d + 4d2) = 0 Factor a trinomial. d((-1 + -4d)(9 + -1d)) = 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 '(-1 + -4d)' equal to zero and attempt to solve: Simplifying -1 + -4d = 0 Solving -1 + -4d = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4d = 0 + 1 -4d = 0 + 1 Combine like terms: 0 + 1 = 1 -4d = 1 Divide each side by '-4'. d = -0.25 Simplifying d = -0.25Subproblem 3
Set the factor '(9 + -1d)' equal to zero and attempt to solve: Simplifying 9 + -1d = 0 Solving 9 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1d = 0 + -9 -1d = 0 + -9 Combine like terms: 0 + -9 = -9 -1d = -9 Divide each side by '-1'. d = 9 Simplifying d = 9Solution
d = {0, -0.25, 9}
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