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Simplifying r2 + -8r + -69 = -4 Reorder the terms: -69 + -8r + r2 = -4 Solving -69 + -8r + r2 = -4 Solving for variable 'r'. Reorder the terms: -69 + 4 + -8r + r2 = -4 + 4 Combine like terms: -69 + 4 = -65 -65 + -8r + r2 = -4 + 4 Combine like terms: -4 + 4 = 0 -65 + -8r + r2 = 0 Factor a trinomial. (-5 + -1r)(13 + -1r) = 0Subproblem 1
Set the factor '(-5 + -1r)' equal to zero and attempt to solve: Simplifying -5 + -1r = 0 Solving -5 + -1r = 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 + -1r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = 0 + 5 -1r = 0 + 5 Combine like terms: 0 + 5 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5Subproblem 2
Set the factor '(13 + -1r)' equal to zero and attempt to solve: Simplifying 13 + -1r = 0 Solving 13 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1r = 0 + -13 -1r = 0 + -13 Combine like terms: 0 + -13 = -13 -1r = -13 Divide each side by '-1'. r = 13 Simplifying r = 13Solution
r = {-5, 13}
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