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Simplifying r2 + -4r = 165 Reorder the terms: -4r + r2 = 165 Solving -4r + r2 = 165 Solving for variable 'r'. Reorder the terms: -165 + -4r + r2 = 165 + -165 Combine like terms: 165 + -165 = 0 -165 + -4r + r2 = 0 Factor a trinomial. (-11 + -1r)(15 + -1r) = 0Subproblem 1
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 = -11Subproblem 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 = {-11, 15}
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