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Simplifying 3r + -48rs2 = 0 Solving 3r + -48rs2 = 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), '3r'. 3r(1 + -16s2) = 0 Factor a difference between two squares. 3r((1 + 4s)(1 + -4s)) = 0 Ignore the factor 3.Subproblem 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 '(1 + 4s)' equal to zero and attempt to solve: Simplifying 1 + 4s = 0 Solving 1 + 4s = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4s = 0 + -1 4s = 0 + -1 Combine like terms: 0 + -1 = -1 4s = -1 Add '-4s' to each side of the equation. 4s + -4s = -1 + -4s Combine like terms: 4s + -4s = 0 0 = -1 + -4s Simplifying 0 = -1 + -4s 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 '(1 + -4s)' equal to zero and attempt to solve: Simplifying 1 + -4s = 0 Solving 1 + -4s = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4s = 0 + -1 -4s = 0 + -1 Combine like terms: 0 + -1 = -1 -4s = -1 Add '4s' to each side of the equation. -4s + 4s = -1 + 4s Combine like terms: -4s + 4s = 0 0 = -1 + 4s Simplifying 0 = -1 + 4s 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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