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