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Simplifying -15d5 + 45d3 = 0 Reorder the terms: 45d3 + -15d5 = 0 Solving 45d3 + -15d5 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '15d3'. 15d3(3 + -1d2) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'd3' equal to zero and attempt to solve: Simplifying d3 = 0 Solving d3 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -1d2)' equal to zero and attempt to solve: Simplifying 3 + -1d2 = 0 Solving 3 + -1d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1d2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1d2 = 0 + -3 -1d2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1d2 = -3 Divide each side by '-1'. d2 = 3 Simplifying d2 = 3 Take the square root of each side: d = {-1.732050808, 1.732050808}Solution
d = {-1.732050808, 1.732050808}
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