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Simplifying r3p + -1rp3 = 0 Solving pr3 + -1p3r = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'pr'. pr(r2 + -1p2) = 0 Factor a difference between two squares. pr((r + p)(r + -1p)) = 0Subproblem 1
Set the factor 'pr' equal to zero and attempt to solve: Simplifying pr = 0 Solving pr = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pr = 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 + p)' equal to zero and attempt to solve: Simplifying r + p = 0 Reorder the terms: p + r = 0 Solving p + r = 0 Move all terms containing p to the left, all other terms to the right. Add '-1r' to each side of the equation. p + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 p + 0 = 0 + -1r p = 0 + -1r Remove the zero: p = -1r Simplifying p = -1rSubproblem 3
Set the factor '(r + -1p)' equal to zero and attempt to solve: Simplifying r + -1p = 0 Reorder the terms: -1p + r = 0 Solving -1p + r = 0 Move all terms containing p to the left, all other terms to the right. Add '-1r' to each side of the equation. -1p + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 -1p + 0 = 0 + -1r -1p = 0 + -1r Remove the zero: -1p = -1r Divide each side by '-1'. p = r Simplifying p = rSolution
p = {-1r, r}
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