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Simplifying m(1 + -1m) + 3(5 + -1m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m) (1 * m + -1m * m) + 3(5 + -1m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m) (1m + -1m2) + 3(5 + -1m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m) 1m + -1m2 + (5 * 3 + -1m * 3) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m) 1m + -1m2 + (15 + -3m) + -2(3 + -1m) = -1m(m + -3) + 3m + -5(1 + -1m) 1m + -1m2 + 15 + -3m + (3 * -2 + -1m * -2) = -1m(m + -3) + 3m + -5(1 + -1m) 1m + -1m2 + 15 + -3m + (-6 + 2m) = -1m(m + -3) + 3m + -5(1 + -1m) Reorder the terms: 15 + -6 + 1m + -3m + 2m + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m) Combine like terms: 15 + -6 = 9 9 + 1m + -3m + 2m + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m) Combine like terms: 1m + -3m = -2m 9 + -2m + 2m + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m) Combine like terms: -2m + 2m = 0 9 + 0 + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m) 9 + -1m2 = -1m(m + -3) + 3m + -5(1 + -1m) Reorder the terms: 9 + -1m2 = -1m(-3 + m) + 3m + -5(1 + -1m) 9 + -1m2 = (-3 * -1m + m * -1m) + 3m + -5(1 + -1m) 9 + -1m2 = (3m + -1m2) + 3m + -5(1 + -1m) 9 + -1m2 = 3m + -1m2 + 3m + (1 * -5 + -1m * -5) 9 + -1m2 = 3m + -1m2 + 3m + (-5 + 5m) Reorder the terms: 9 + -1m2 = -5 + 3m + 3m + 5m + -1m2 Combine like terms: 3m + 3m = 6m 9 + -1m2 = -5 + 6m + 5m + -1m2 Combine like terms: 6m + 5m = 11m 9 + -1m2 = -5 + 11m + -1m2 Add 'm2' to each side of the equation. 9 + -1m2 + m2 = -5 + 11m + -1m2 + m2 Combine like terms: -1m2 + m2 = 0 9 + 0 = -5 + 11m + -1m2 + m2 9 = -5 + 11m + -1m2 + m2 Combine like terms: -1m2 + m2 = 0 9 = -5 + 11m + 0 9 = -5 + 11m Solving 9 = -5 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 9 + -11m = -5 + 11m + -11m Combine like terms: 11m + -11m = 0 9 + -11m = -5 + 0 9 + -11m = -5 Add '-9' to each side of the equation. 9 + -9 + -11m = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -11m = -5 + -9 -11m = -5 + -9 Combine like terms: -5 + -9 = -14 -11m = -14 Divide each side by '-11'. m = 1.272727273 Simplifying m = 1.272727273
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