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Simplifying 2d3 + -1d2 = 10d Reorder the terms: -1d2 + 2d3 = 10d Solving -1d2 + 2d3 = 10d Solving for variable 'd'. Reorder the terms: -10d + -1d2 + 2d3 = 10d + -10d Combine like terms: 10d + -10d = 0 -10d + -1d2 + 2d3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-10 + -1d + 2d2) = 0 Factor a trinomial. d((-2 + -1d)(5 + -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 + -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 + -2d)' equal to zero and attempt to solve: Simplifying 5 + -2d = 0 Solving 5 + -2d = 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 + -2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = 0 + -5 -2d = 0 + -5 Combine like terms: 0 + -5 = -5 -2d = -5 Divide each side by '-2'. d = 2.5 Simplifying d = 2.5Solution
d = {0, -2, 2.5}
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