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Simplifying r2 = -36 + -13r Solving r2 = -36 + -13r Solving for variable 'r'. Reorder the terms: 36 + 13r + r2 = -36 + -13r + 36 + 13r Reorder the terms: 36 + 13r + r2 = -36 + 36 + -13r + 13r Combine like terms: -36 + 36 = 0 36 + 13r + r2 = 0 + -13r + 13r 36 + 13r + r2 = -13r + 13r Combine like terms: -13r + 13r = 0 36 + 13r + r2 = 0 Factor a trinomial. (9 + r)(4 + r) = 0Subproblem 1
Set the factor '(9 + r)' equal to zero and attempt to solve: Simplifying 9 + r = 0 Solving 9 + r = 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 + r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + r = 0 + -9 r = 0 + -9 Combine like terms: 0 + -9 = -9 r = -9 Simplifying r = -9Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Solution
r = {-9, -4}
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