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Simplifying 5d2(3d + -2) = 0 Reorder the terms: 5d2(-2 + 3d) = 0 (-2 * 5d2 + 3d * 5d2) = 0 (-10d2 + 15d3) = 0 Solving -10d2 + 15d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '5d2'. 5d2(-2 + 3d) = 0 Ignore the factor 5.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 '(-2 + 3d)' equal to zero and attempt to solve: Simplifying -2 + 3d = 0 Solving -2 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3d = 0 + 2 3d = 0 + 2 Combine like terms: 0 + 2 = 2 3d = 2 Divide each side by '3'. d = 0.6666666667 Simplifying d = 0.6666666667Solution
d = {0, 0.6666666667}
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