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Simplifying 45d3 + -25d2 = 0 Reorder the terms: -25d2 + 45d3 = 0 Solving -25d2 + 45d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '5d2'. 5d2(-5 + 9d) = 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 '(-5 + 9d)' equal to zero and attempt to solve: Simplifying -5 + 9d = 0 Solving -5 + 9d = 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 + 9d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9d = 0 + 5 9d = 0 + 5 Combine like terms: 0 + 5 = 5 9d = 5 Divide each side by '9'. d = 0.5555555556 Simplifying d = 0.5555555556Solution
d = {0, 0.5555555556}
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