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Simplifying 261 = 20r + r2 Solving 261 = 20r + r2 Solving for variable 'r'. Reorder the terms: 261 + -20r + -1r2 = 20r + -20r + r2 + -1r2 Combine like terms: 20r + -20r = 0 261 + -20r + -1r2 = 0 + r2 + -1r2 261 + -20r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 261 + -20r + -1r2 = 0 Factor a trinomial. (9 + -1r)(29 + r) = 0Subproblem 1
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 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 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Subproblem 2
Set the factor '(29 + r)' equal to zero and attempt to solve: Simplifying 29 + r = 0 Solving 29 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + r = 0 + -29 Combine like terms: 29 + -29 = 0 0 + r = 0 + -29 r = 0 + -29 Combine like terms: 0 + -29 = -29 r = -29 Simplifying r = -29Solution
r = {9, -29}
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