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Simplifying 144d3 + -25d = 0 Reorder the terms: -25d + 144d3 = 0 Solving -25d + 144d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-25 + 144d2) = 0 Factor a difference between two squares. d((5 + 12d)(-5 + 12d)) = 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 + 12d)' equal to zero and attempt to solve: Simplifying 5 + 12d = 0 Solving 5 + 12d = 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 + 12d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12d = 0 + -5 12d = 0 + -5 Combine like terms: 0 + -5 = -5 12d = -5 Divide each side by '12'. d = -0.4166666667 Simplifying d = -0.4166666667Subproblem 3
Set the factor '(-5 + 12d)' equal to zero and attempt to solve: Simplifying -5 + 12d = 0 Solving -5 + 12d = 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 + 12d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12d = 0 + 5 12d = 0 + 5 Combine like terms: 0 + 5 = 5 12d = 5 Divide each side by '12'. d = 0.4166666667 Simplifying d = 0.4166666667Solution
d = {0, -0.4166666667, 0.4166666667}
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