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Simplifying (m + 1)(4m + -10) = 3(m + 4) + -9 Reorder the terms: (1 + m)(4m + -10) = 3(m + 4) + -9 Reorder the terms: (1 + m)(-10 + 4m) = 3(m + 4) + -9 Multiply (1 + m) * (-10 + 4m) (1(-10 + 4m) + m(-10 + 4m)) = 3(m + 4) + -9 ((-10 * 1 + 4m * 1) + m(-10 + 4m)) = 3(m + 4) + -9 ((-10 + 4m) + m(-10 + 4m)) = 3(m + 4) + -9 (-10 + 4m + (-10 * m + 4m * m)) = 3(m + 4) + -9 (-10 + 4m + (-10m + 4m2)) = 3(m + 4) + -9 Combine like terms: 4m + -10m = -6m (-10 + -6m + 4m2) = 3(m + 4) + -9 Reorder the terms: -10 + -6m + 4m2 = 3(4 + m) + -9 -10 + -6m + 4m2 = (4 * 3 + m * 3) + -9 -10 + -6m + 4m2 = (12 + 3m) + -9 Reorder the terms: -10 + -6m + 4m2 = 12 + -9 + 3m Combine like terms: 12 + -9 = 3 -10 + -6m + 4m2 = 3 + 3m Solving -10 + -6m + 4m2 = 3 + 3m Solving for variable 'm'. Reorder the terms: -10 + -3 + -6m + -3m + 4m2 = 3 + 3m + -3 + -3m Combine like terms: -10 + -3 = -13 -13 + -6m + -3m + 4m2 = 3 + 3m + -3 + -3m Combine like terms: -6m + -3m = -9m -13 + -9m + 4m2 = 3 + 3m + -3 + -3m Reorder the terms: -13 + -9m + 4m2 = 3 + -3 + 3m + -3m Combine like terms: 3 + -3 = 0 -13 + -9m + 4m2 = 0 + 3m + -3m -13 + -9m + 4m2 = 3m + -3m Combine like terms: 3m + -3m = 0 -13 + -9m + 4m2 = 0 Factor a trinomial. (-1 + -1m)(13 + -4m) = 0Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 2
Set the factor '(13 + -4m)' equal to zero and attempt to solve: Simplifying 13 + -4m = 0 Solving 13 + -4m = 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 + -4m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4m = 0 + -13 -4m = 0 + -13 Combine like terms: 0 + -13 = -13 -4m = -13 Divide each side by '-4'. m = 3.25 Simplifying m = 3.25Solution
m = {-1, 3.25}
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