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Simplifying 3d5 + -21d4 + 30d3 = 0 Reorder the terms: 30d3 + -21d4 + 3d5 = 0 Solving 30d3 + -21d4 + 3d5 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3d3'. 3d3(10 + -7d + d2) = 0 Factor a trinomial. 3d3((2 + -1d)(5 + -1d)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'd3' equal to zero and attempt to solve: Simplifying d3 = 0 Solving d3 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 + -1d)' equal to zero and attempt to solve: Simplifying 5 + -1d = 0 Solving 5 + -1d = 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 + -1d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1d = 0 + -5 -1d = 0 + -5 Combine like terms: 0 + -5 = -5 -1d = -5 Divide each side by '-1'. d = 5 Simplifying d = 5Solution
d = {2, 5}
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