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Simplifying 25d2 + -75d3 = 0 Solving 25d2 + -75d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '25d2'. 25d2(1 + -3d) = 0 Ignore the factor 25.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 '(1 + -3d)' equal to zero and attempt to solve: Simplifying 1 + -3d = 0 Solving 1 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3d = 0 + -1 -3d = 0 + -1 Combine like terms: 0 + -1 = -1 -3d = -1 Divide each side by '-3'. d = 0.3333333333 Simplifying d = 0.3333333333Solution
d = {0, 0.3333333333}
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