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