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Simplifying (9m2 + 111m + 132) + (m + 11) = 0 Reorder the terms: (132 + 111m + 9m2) + (m + 11) = 0 Remove parenthesis around (132 + 111m + 9m2) 132 + 111m + 9m2 + (m + 11) = 0 Reorder the terms: 132 + 111m + 9m2 + (11 + m) = 0 Remove parenthesis around (11 + m) 132 + 111m + 9m2 + 11 + m = 0 Reorder the terms: 132 + 11 + 111m + m + 9m2 = 0 Combine like terms: 132 + 11 = 143 143 + 111m + m + 9m2 = 0 Combine like terms: 111m + m = 112m 143 + 112m + 9m2 = 0 Solving 143 + 112m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (11 + m)(13 + 9m) = 0Subproblem 1
Set the factor '(11 + m)' equal to zero and attempt to solve: Simplifying 11 + m = 0 Solving 11 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + m = 0 + -11 m = 0 + -11 Combine like terms: 0 + -11 = -11 m = -11 Simplifying m = -11Subproblem 2
Set the factor '(13 + 9m)' equal to zero and attempt to solve: Simplifying 13 + 9m = 0 Solving 13 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 9m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 9m = 0 + -13 9m = 0 + -13 Combine like terms: 0 + -13 = -13 9m = -13 Divide each side by '9'. m = -1.444444444 Simplifying m = -1.444444444Solution
m = {-11, -1.444444444}
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