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Simplifying 18d3 = 50d Solving 18d3 = 50d Solving for variable 'd'. Reorder the terms: -50d + 18d3 = 50d + -50d Combine like terms: 50d + -50d = 0 -50d + 18d3 = 0 Factor out the Greatest Common Factor (GCF), '2d'. 2d(-25 + 9d2) = 0 Factor a difference between two squares. 2d((5 + 3d)(-5 + 3d)) = 0 Ignore the factor 2.Subproblem 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 + 3d)' equal to zero and attempt to solve: Simplifying 5 + 3d = 0 Solving 5 + 3d = 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 + 3d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 0 + -5 3d = 0 + -5 Combine like terms: 0 + -5 = -5 3d = -5 Divide each side by '3'. d = -1.666666667 Simplifying d = -1.666666667Subproblem 3
Set the factor '(-5 + 3d)' equal to zero and attempt to solve: Simplifying -5 + 3d = 0 Solving -5 + 3d = 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 + 3d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3d = 0 + 5 3d = 0 + 5 Combine like terms: 0 + 5 = 5 3d = 5 Divide each side by '3'. d = 1.666666667 Simplifying d = 1.666666667Solution
d = {0, -1.666666667, 1.666666667}
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