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Simplifying r2 + -1r = 4r + 36 Reorder the terms: -1r + r2 = 4r + 36 Reorder the terms: -1r + r2 = 36 + 4r Solving -1r + r2 = 36 + 4r Solving for variable 'r'. Reorder the terms: -36 + -1r + -4r + r2 = 36 + 4r + -36 + -4r Combine like terms: -1r + -4r = -5r -36 + -5r + r2 = 36 + 4r + -36 + -4r Reorder the terms: -36 + -5r + r2 = 36 + -36 + 4r + -4r Combine like terms: 36 + -36 = 0 -36 + -5r + r2 = 0 + 4r + -4r -36 + -5r + r2 = 4r + -4r Combine like terms: 4r + -4r = 0 -36 + -5r + r2 = 0 Factor a trinomial. (-4 + -1r)(9 + -1r) = 0Subproblem 1
Set the factor '(-4 + -1r)' equal to zero and attempt to solve: Simplifying -4 + -1r = 0 Solving -4 + -1r = 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 + -1r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 0 + 4 -1r = 0 + 4 Combine like terms: 0 + 4 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 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 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {-4, 9}
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