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Simplifying 12R2 = R + 20 Reorder the terms: 12R2 = 20 + R Solving 12R2 = 20 + R Solving for variable 'R'. Reorder the terms: -20 + -1R + 12R2 = 20 + R + -20 + -1R Reorder the terms: -20 + -1R + 12R2 = 20 + -20 + R + -1R Combine like terms: 20 + -20 = 0 -20 + -1R + 12R2 = 0 + R + -1R -20 + -1R + 12R2 = R + -1R Combine like terms: R + -1R = 0 -20 + -1R + 12R2 = 0 Factor a trinomial. (-5 + -4R)(4 + -3R) = 0Subproblem 1
Set the factor '(-5 + -4R)' equal to zero and attempt to solve: Simplifying -5 + -4R = 0 Solving -5 + -4R = 0 Move all terms containing R to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4R = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4R = 0 + 5 -4R = 0 + 5 Combine like terms: 0 + 5 = 5 -4R = 5 Divide each side by '-4'. R = -1.25 Simplifying R = -1.25Subproblem 2
Set the factor '(4 + -3R)' equal to zero and attempt to solve: Simplifying 4 + -3R = 0 Solving 4 + -3R = 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 + -3R = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3R = 0 + -4 -3R = 0 + -4 Combine like terms: 0 + -4 = -4 -3R = -4 Divide each side by '-3'. R = 1.333333333 Simplifying R = 1.333333333Solution
R = {-1.25, 1.333333333}
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