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Simplifying 2r2 = r + 10 Reorder the terms: 2r2 = 10 + r Solving 2r2 = 10 + r Solving for variable 'r'. Reorder the terms: -10 + -1r + 2r2 = 10 + r + -10 + -1r Reorder the terms: -10 + -1r + 2r2 = 10 + -10 + r + -1r Combine like terms: 10 + -10 = 0 -10 + -1r + 2r2 = 0 + r + -1r -10 + -1r + 2r2 = r + -1r Combine like terms: r + -1r = 0 -10 + -1r + 2r2 = 0 Factor a trinomial. (-2 + -1r)(5 + -2r) = 0Subproblem 1
Set the factor '(-2 + -1r)' equal to zero and attempt to solve: Simplifying -2 + -1r = 0 Solving -2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 0 + 2 -1r = 0 + 2 Combine like terms: 0 + 2 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2Subproblem 2
Set the factor '(5 + -2r)' equal to zero and attempt to solve: Simplifying 5 + -2r = 0 Solving 5 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 0 + -5 -2r = 0 + -5 Combine like terms: 0 + -5 = -5 -2r = -5 Divide each side by '-2'. r = 2.5 Simplifying r = 2.5Solution
r = {-2, 2.5}
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