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