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Simplifying 9d2 = 15d Solving 9d2 = 15d Solving for variable 'd'. Reorder the terms: -15d + 9d2 = 15d + -15d Combine like terms: 15d + -15d = 0 -15d + 9d2 = 0 Factor out the Greatest Common Factor (GCF), '3d'. 3d(-5 + 3d) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 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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