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Simplifying r(r + 2) = 255 Reorder the terms: r(2 + r) = 255 (2 * r + r * r) = 255 (2r + r2) = 255 Solving 2r + r2 = 255 Solving for variable 'r'. Reorder the terms: -255 + 2r + r2 = 255 + -255 Combine like terms: 255 + -255 = 0 -255 + 2r + r2 = 0 Factor a trinomial. (-17 + -1r)(15 + -1r) = 0Subproblem 1
Set the factor '(-17 + -1r)' equal to zero and attempt to solve: Simplifying -17 + -1r = 0 Solving -17 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1r = 0 + 17 -1r = 0 + 17 Combine like terms: 0 + 17 = 17 -1r = 17 Divide each side by '-1'. r = -17 Simplifying r = -17Subproblem 2
Set the factor '(15 + -1r)' equal to zero and attempt to solve: Simplifying 15 + -1r = 0 Solving 15 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1r = 0 + -15 -1r = 0 + -15 Combine like terms: 0 + -15 = -15 -1r = -15 Divide each side by '-1'. r = 15 Simplifying r = 15Solution
r = {-17, 15}
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