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Simplifying 6d2(3d + -8) = 0 Reorder the terms: 6d2(-8 + 3d) = 0 (-8 * 6d2 + 3d * 6d2) = 0 (-48d2 + 18d3) = 0 Solving -48d2 + 18d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '6d2'. 6d2(-8 + 3d) = 0 Ignore the factor 6.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 '(-8 + 3d)' equal to zero and attempt to solve: Simplifying -8 + 3d = 0 Solving -8 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3d = 0 + 8 3d = 0 + 8 Combine like terms: 0 + 8 = 8 3d = 8 Divide each side by '3'. d = 2.666666667 Simplifying d = 2.666666667Solution
d = {0, 2.666666667}
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