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Simplifying 5d3 + -10d2 + 20d = 0 Reorder the terms: 20d + -10d2 + 5d3 = 0 Solving 20d + -10d2 + 5d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '5d'. 5d(4 + -2d + d2) = 0 Ignore the factor 5.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 '(4 + -2d + d2)' equal to zero and attempt to solve: Simplifying 4 + -2d + d2 = 0 Solving 4 + -2d + d2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2d + -4 + d2 = 0 + -4 Reorder the terms: 4 + -4 + -2d + d2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2d + d2 = 0 + -4 -2d + d2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2d + d2 = -4 The d term is -2d. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2d + 1 + d2 = -4 + 1 Reorder the terms: 1 + -2d + d2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2d + d2 = -3 Factor a perfect square on the left side: (d + -1)(d + -1) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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