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Simplifying R2 = 8 + 2R Solving R2 = 8 + 2R Solving for variable 'R'. Reorder the terms: -8 + -2R + R2 = 8 + 2R + -8 + -2R Reorder the terms: -8 + -2R + R2 = 8 + -8 + 2R + -2R Combine like terms: 8 + -8 = 0 -8 + -2R + R2 = 0 + 2R + -2R -8 + -2R + R2 = 2R + -2R Combine like terms: 2R + -2R = 0 -8 + -2R + R2 = 0 Factor a trinomial. (-2 + -1R)(4 + -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 '(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 = 4Solution
R = {-2, 4}
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