R(R-18)=-81

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Solution for R(R-18)=-81 equation:


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) = 0

Subproblem 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 = 9

Subproblem 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 = 9

Solution

R = {9, 9}

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