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Simplifying R(R + -18) = -81 Reorder the terms: R(-18 + R) = -81 (-18 * R + R * R) = -81 (-18R + R2) = -81 Solving -18R + R2 = -81 Solving for variable 'R'. Reorder the terms: 81 + -18R + R2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + -18R + R2 = 0 Factor a trinomial. (9 + -1R)(9 + -1R) = 0Subproblem 1
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 = 9Subproblem 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 = {9, 9}
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