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Simplifying 242r + -18r3 = 0 Solving 242r + -18r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(121 + -9r2) = 0 Factor a difference between two squares. 2r((11 + 3r)(11 + -3r)) = 0 Ignore the factor 2.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 '(11 + 3r)' equal to zero and attempt to solve: Simplifying 11 + 3r = 0 Solving 11 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3r = 0 + -11 3r = 0 + -11 Combine like terms: 0 + -11 = -11 3r = -11 Divide each side by '3'. r = -3.666666667 Simplifying r = -3.666666667Subproblem 3
Set the factor '(11 + -3r)' equal to zero and attempt to solve: Simplifying 11 + -3r = 0 Solving 11 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3r = 0 + -11 -3r = 0 + -11 Combine like terms: 0 + -11 = -11 -3r = -11 Divide each side by '-3'. r = 3.666666667 Simplifying r = 3.666666667Solution
r = {0, -3.666666667, 3.666666667}
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