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Simplifying 4r2 + -44r + 121 = 0 Reorder the terms: 121 + -44r + 4r2 = 0 Solving 121 + -44r + 4r2 = 0 Solving for variable 'r'. Factor a trinomial. (11 + -2r)(11 + -2r) = 0Subproblem 1
Set the factor '(11 + -2r)' equal to zero and attempt to solve: Simplifying 11 + -2r = 0 Solving 11 + -2r = 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 + -2r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2r = 0 + -11 -2r = 0 + -11 Combine like terms: 0 + -11 = -11 -2r = -11 Divide each side by '-2'. r = 5.5 Simplifying r = 5.5Subproblem 2
Set the factor '(11 + -2r)' equal to zero and attempt to solve: Simplifying 11 + -2r = 0 Solving 11 + -2r = 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 + -2r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2r = 0 + -11 -2r = 0 + -11 Combine like terms: 0 + -11 = -11 -2r = -11 Divide each side by '-2'. r = 5.5 Simplifying r = 5.5Solution
r = {5.5, 5.5}
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