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Simplifying d3 + -144d = 0 Reorder the terms: -144d + d3 = 0 Solving -144d + d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-144 + d2) = 0 Factor a difference between two squares. d((12 + d)(-12 + d)) = 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 '(12 + d)' equal to zero and attempt to solve: Simplifying 12 + d = 0 Solving 12 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + d = 0 + -12 d = 0 + -12 Combine like terms: 0 + -12 = -12 d = -12 Simplifying d = -12Subproblem 3
Set the factor '(-12 + d)' equal to zero and attempt to solve: Simplifying -12 + d = 0 Solving -12 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + d = 0 + 12 Combine like terms: -12 + 12 = 0 0 + d = 0 + 12 d = 0 + 12 Combine like terms: 0 + 12 = 12 d = 12 Simplifying d = 12Solution
d = {0, -12, 12}
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