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Simplifying r3d + -1rd3 = 0 Solving dr3 + -1d3r = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'dr'. dr(r2 + -1d2) = 0 Factor a difference between two squares. dr((r + d)(r + -1d)) = 0Subproblem 1
Set the factor 'dr' equal to zero and attempt to solve: Simplifying dr = 0 Solving dr = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dr = 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 '(r + d)' equal to zero and attempt to solve: Simplifying r + d = 0 Reorder the terms: d + r = 0 Solving d + r = 0 Move all terms containing d to the left, all other terms to the right. Add '-1r' to each side of the equation. d + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 d + 0 = 0 + -1r d = 0 + -1r Remove the zero: d = -1r Simplifying d = -1rSubproblem 3
Set the factor '(r + -1d)' equal to zero and attempt to solve: Simplifying r + -1d = 0 Reorder the terms: -1d + r = 0 Solving -1d + r = 0 Move all terms containing d to the left, all other terms to the right. Add '-1r' to each side of the equation. -1d + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 -1d + 0 = 0 + -1r -1d = 0 + -1r Remove the zero: -1d = -1r Divide each side by '-1'. d = r Simplifying d = rSolution
d = {-1r, r}
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