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Simplifying 9d2(3d + -5) = 0 Reorder the terms: 9d2(-5 + 3d) = 0 (-5 * 9d2 + 3d * 9d2) = 0 (-45d2 + 27d3) = 0 Solving -45d2 + 27d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '9d2'. 9d2(-5 + 3d) = 0 Ignore the factor 9.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 '(-5 + 3d)' equal to zero and attempt to solve: Simplifying -5 + 3d = 0 Solving -5 + 3d = 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 + 3d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3d = 0 + 5 3d = 0 + 5 Combine like terms: 0 + 5 = 5 3d = 5 Divide each side by '3'. d = 1.666666667 Simplifying d = 1.666666667Solution
d = {0, 1.666666667}
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