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Simplifying r2 + -4r = 16 + 2r Reorder the terms: -4r + r2 = 16 + 2r Solving -4r + r2 = 16 + 2r Solving for variable 'r'. Reorder the terms: -16 + -4r + -2r + r2 = 16 + 2r + -16 + -2r Combine like terms: -4r + -2r = -6r -16 + -6r + r2 = 16 + 2r + -16 + -2r Reorder the terms: -16 + -6r + r2 = 16 + -16 + 2r + -2r Combine like terms: 16 + -16 = 0 -16 + -6r + r2 = 0 + 2r + -2r -16 + -6r + r2 = 2r + -2r Combine like terms: 2r + -2r = 0 -16 + -6r + r2 = 0 Factor a trinomial. (-2 + -1r)(8 + -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 '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {-2, 8}
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