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Simplifying R2 + R + -156 = 0 Reorder the terms: -156 + R + R2 = 0 Solving -156 + R + R2 = 0 Solving for variable 'R'. Factor a trinomial. (-13 + -1R)(12 + -1R) = 0Subproblem 1
Set the factor '(-13 + -1R)' equal to zero and attempt to solve: Simplifying -13 + -1R = 0 Solving -13 + -1R = 0 Move all terms containing R to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1R = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1R = 0 + 13 -1R = 0 + 13 Combine like terms: 0 + 13 = 13 -1R = 13 Divide each side by '-1'. R = -13 Simplifying R = -13Subproblem 2
Set the factor '(12 + -1R)' equal to zero and attempt to solve: Simplifying 12 + -1R = 0 Solving 12 + -1R = 0 Move all terms containing R to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1R = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1R = 0 + -12 -1R = 0 + -12 Combine like terms: 0 + -12 = -12 -1R = -12 Divide each side by '-1'. R = 12 Simplifying R = 12Solution
R = {-13, 12}
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