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Simplifying r2 + -1r + -101 = 9 Reorder the terms: -101 + -1r + r2 = 9 Solving -101 + -1r + r2 = 9 Solving for variable 'r'. Reorder the terms: -101 + -9 + -1r + r2 = 9 + -9 Combine like terms: -101 + -9 = -110 -110 + -1r + r2 = 9 + -9 Combine like terms: 9 + -9 = 0 -110 + -1r + r2 = 0 Factor a trinomial. (-10 + -1r)(11 + -1r) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(11 + -1r)' equal to zero and attempt to solve: Simplifying 11 + -1r = 0 Solving 11 + -1r = 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 + -1r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 0 + -11 -1r = 0 + -11 Combine like terms: 0 + -11 = -11 -1r = -11 Divide each side by '-1'. r = 11 Simplifying r = 11Solution
r = {-10, 11}
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