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Simplifying 12d3 + 9d2 = 0 Reorder the terms: 9d2 + 12d3 = 0 Solving 9d2 + 12d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3d2'. 3d2(3 + 4d) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve: Simplifying d2 = 0 Solving d2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2 = 0 Take the square root of each side: d = {0}Subproblem 2
Set the factor '(3 + 4d)' equal to zero and attempt to solve: Simplifying 3 + 4d = 0 Solving 3 + 4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4d = 0 + -3 4d = 0 + -3 Combine like terms: 0 + -3 = -3 4d = -3 Divide each side by '4'. d = -0.75 Simplifying d = -0.75Solution
d = {0, -0.75}
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