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Simplifying (12 + r)(11 + -1r) = 0 Multiply (12 + r) * (11 + -1r) (12(11 + -1r) + r(11 + -1r)) = 0 ((11 * 12 + -1r * 12) + r(11 + -1r)) = 0 ((132 + -12r) + r(11 + -1r)) = 0 (132 + -12r + (11 * r + -1r * r)) = 0 (132 + -12r + (11r + -1r2)) = 0 Combine like terms: -12r + 11r = -1r (132 + -1r + -1r2) = 0 Solving 132 + -1r + -1r2 = 0 Solving for variable 'r'. Factor a trinomial. (11 + -1r)(12 + r) = 0Subproblem 1
Set the factor '(11 + -1r)' equal to zero and attempt to solve: Simplifying 11 + -1r = 0 Solving 11 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 0 + -11 -1r = 0 + -11 Combine like terms: 0 + -11 = -11 -1r = -11 Divide each side by '-1'. r = 11 Simplifying r = 11Subproblem 2
Set the factor '(12 + r)' equal to zero and attempt to solve: Simplifying 12 + r = 0 Solving 12 + r = 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 + r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + r = 0 + -12 r = 0 + -12 Combine like terms: 0 + -12 = -12 r = -12 Simplifying r = -12Solution
r = {11, -12}
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