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Simplifying (6m + -11)(3m + 7) = 0 Reorder the terms: (-11 + 6m)(3m + 7) = 0 Reorder the terms: (-11 + 6m)(7 + 3m) = 0 Multiply (-11 + 6m) * (7 + 3m) (-11(7 + 3m) + 6m * (7 + 3m)) = 0 ((7 * -11 + 3m * -11) + 6m * (7 + 3m)) = 0 ((-77 + -33m) + 6m * (7 + 3m)) = 0 (-77 + -33m + (7 * 6m + 3m * 6m)) = 0 (-77 + -33m + (42m + 18m2)) = 0 Combine like terms: -33m + 42m = 9m (-77 + 9m + 18m2) = 0 Solving -77 + 9m + 18m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -3m)(11 + -6m) = 0Subproblem 1
Set the factor '(-7 + -3m)' equal to zero and attempt to solve: Simplifying -7 + -3m = 0 Solving -7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3m = 0 + 7 -3m = 0 + 7 Combine like terms: 0 + 7 = 7 -3m = 7 Divide each side by '-3'. m = -2.333333333 Simplifying m = -2.333333333Subproblem 2
Set the factor '(11 + -6m)' equal to zero and attempt to solve: Simplifying 11 + -6m = 0 Solving 11 + -6m = 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 + -6m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6m = 0 + -11 -6m = 0 + -11 Combine like terms: 0 + -11 = -11 -6m = -11 Divide each side by '-6'. m = 1.833333333 Simplifying m = 1.833333333Solution
m = {-2.333333333, 1.833333333}
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