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Simplifying 2r2 + -9r + -110 = 0 Reorder the terms: -110 + -9r + 2r2 = 0 Solving -110 + -9r + 2r2 = 0 Solving for variable 'r'. Factor a trinomial. (-11 + -2r)(10 + -1r) = 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 '(10 + -1r)' equal to zero and attempt to solve: Simplifying 10 + -1r = 0 Solving 10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 0 + -10 -1r = 0 + -10 Combine like terms: 0 + -10 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10Solution
r = {-5.5, 10}
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