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Simplifying (m + -4)(3m + -10) = 3(m + -2) + 18 Reorder the terms: (-4 + m)(3m + -10) = 3(m + -2) + 18 Reorder the terms: (-4 + m)(-10 + 3m) = 3(m + -2) + 18 Multiply (-4 + m) * (-10 + 3m) (-4(-10 + 3m) + m(-10 + 3m)) = 3(m + -2) + 18 ((-10 * -4 + 3m * -4) + m(-10 + 3m)) = 3(m + -2) + 18 ((40 + -12m) + m(-10 + 3m)) = 3(m + -2) + 18 (40 + -12m + (-10 * m + 3m * m)) = 3(m + -2) + 18 (40 + -12m + (-10m + 3m2)) = 3(m + -2) + 18 Combine like terms: -12m + -10m = -22m (40 + -22m + 3m2) = 3(m + -2) + 18 Reorder the terms: 40 + -22m + 3m2 = 3(-2 + m) + 18 40 + -22m + 3m2 = (-2 * 3 + m * 3) + 18 40 + -22m + 3m2 = (-6 + 3m) + 18 Reorder the terms: 40 + -22m + 3m2 = -6 + 18 + 3m Combine like terms: -6 + 18 = 12 40 + -22m + 3m2 = 12 + 3m Solving 40 + -22m + 3m2 = 12 + 3m Solving for variable 'm'. Reorder the terms: 40 + -12 + -22m + -3m + 3m2 = 12 + 3m + -12 + -3m Combine like terms: 40 + -12 = 28 28 + -22m + -3m + 3m2 = 12 + 3m + -12 + -3m Combine like terms: -22m + -3m = -25m 28 + -25m + 3m2 = 12 + 3m + -12 + -3m Reorder the terms: 28 + -25m + 3m2 = 12 + -12 + 3m + -3m Combine like terms: 12 + -12 = 0 28 + -25m + 3m2 = 0 + 3m + -3m 28 + -25m + 3m2 = 3m + -3m Combine like terms: 3m + -3m = 0 28 + -25m + 3m2 = 0 Factor a trinomial. (4 + -3m)(7 + -1m) = 0Subproblem 1
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {1.333333333, 7}
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