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Simplifying 2d3 + -7d = 13d2 Reorder the terms: -7d + 2d3 = 13d2 Solving -7d + 2d3 = 13d2 Solving for variable 'd'. Reorder the terms: -7d + -13d2 + 2d3 = 13d2 + -13d2 Combine like terms: 13d2 + -13d2 = 0 -7d + -13d2 + 2d3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-7 + -13d + 2d2) = 0 Factor a trinomial. d((-1 + -2d)(7 + -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 + -2d)' equal to zero and attempt to solve: Simplifying -1 + -2d = 0 Solving -1 + -2d = 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 + -2d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2d = 0 + 1 -2d = 0 + 1 Combine like terms: 0 + 1 = 1 -2d = 1 Divide each side by '-2'. d = -0.5 Simplifying d = -0.5Subproblem 3
Set the factor '(7 + -1d)' equal to zero and attempt to solve: Simplifying 7 + -1d = 0 Solving 7 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = 0 + -7 -1d = 0 + -7 Combine like terms: 0 + -7 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7Solution
d = {0, -0.5, 7}
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