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Simplifying d3 + 25d = 10d2 Reorder the terms: 25d + d3 = 10d2 Solving 25d + d3 = 10d2 Solving for variable 'd'. Reorder the terms: 25d + -10d2 + d3 = 10d2 + -10d2 Combine like terms: 10d2 + -10d2 = 0 25d + -10d2 + d3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(25 + -10d + d2) = 0 Factor a trinomial. d((5 + -1d)(5 + -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 '(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 = 5Subproblem 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 = {0, 5, 5}
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