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Simplifying 4v2r + -25vr + 25r = 0 Reorder the terms: 25r + -25rv + 4rv2 = 0 Solving 25r + -25rv + 4rv2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'r'. r(25 + -25v + 4v2) = 0 Factor a trinomial. r((5 + -4v)(5 + -1v)) = 0Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Add '4v' to each side of the equation. -4v + 4v = -5 + 4v Combine like terms: -4v + 4v = 0 0 = -5 + 4v Simplifying 0 = -5 + 4v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Add 'v' to each side of the equation. -1v + v = -5 + v Combine like terms: -1v + v = 0 0 = -5 + v Simplifying 0 = -5 + v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
r = {0}
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