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Simplifying 9r2 + -66r + 121 = 0 Reorder the terms: 121 + -66r + 9r2 = 0 Solving 121 + -66r + 9r2 = 0 Solving for variable 'r'. Factor a trinomial. (11 + -3r)(11 + -3r) = 0Subproblem 1
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 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 = 3.666666667Solution
r = {3.666666667, 3.666666667}
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