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Simplifying 0 = 4d3 + -25d Reorder the terms: 0 = -25d + 4d3 Solving 0 = -25d + 4d3 Solving for variable 'd'. Remove the zero: 25d + -4d3 = -25d + 4d3 + 25d + -4d3 Reorder the terms: 25d + -4d3 = -25d + 25d + 4d3 + -4d3 Combine like terms: -25d + 25d = 0 25d + -4d3 = 0 + 4d3 + -4d3 25d + -4d3 = 4d3 + -4d3 Combine like terms: 4d3 + -4d3 = 0 25d + -4d3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(25 + -4d2) = 0 Factor a difference between two squares. d((5 + 2d)(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 '(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 = -2.5Subproblem 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, -2.5, 2.5}
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