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Simplifying r2 + -16r + -36 = 0 Reorder the terms: -36 + -16r + r2 = 0 Solving -36 + -16r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-2 + -1r)(18 + -1r) = 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 '(18 + -1r)' equal to zero and attempt to solve: Simplifying 18 + -1r = 0 Solving 18 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1r = 0 + -18 -1r = 0 + -18 Combine like terms: 0 + -18 = -18 -1r = -18 Divide each side by '-1'. r = 18 Simplifying r = 18Solution
r = {-2, 18}
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