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Simplifying (m + 2)(2m + -6) = 5(m + -1) + -12 Reorder the terms: (2 + m)(2m + -6) = 5(m + -1) + -12 Reorder the terms: (2 + m)(-6 + 2m) = 5(m + -1) + -12 Multiply (2 + m) * (-6 + 2m) (2(-6 + 2m) + m(-6 + 2m)) = 5(m + -1) + -12 ((-6 * 2 + 2m * 2) + m(-6 + 2m)) = 5(m + -1) + -12 ((-12 + 4m) + m(-6 + 2m)) = 5(m + -1) + -12 (-12 + 4m + (-6 * m + 2m * m)) = 5(m + -1) + -12 (-12 + 4m + (-6m + 2m2)) = 5(m + -1) + -12 Combine like terms: 4m + -6m = -2m (-12 + -2m + 2m2) = 5(m + -1) + -12 Reorder the terms: -12 + -2m + 2m2 = 5(-1 + m) + -12 -12 + -2m + 2m2 = (-1 * 5 + m * 5) + -12 -12 + -2m + 2m2 = (-5 + 5m) + -12 Reorder the terms: -12 + -2m + 2m2 = -5 + -12 + 5m Combine like terms: -5 + -12 = -17 -12 + -2m + 2m2 = -17 + 5m Solving -12 + -2m + 2m2 = -17 + 5m Solving for variable 'm'. Reorder the terms: -12 + 17 + -2m + -5m + 2m2 = -17 + 5m + 17 + -5m Combine like terms: -12 + 17 = 5 5 + -2m + -5m + 2m2 = -17 + 5m + 17 + -5m Combine like terms: -2m + -5m = -7m 5 + -7m + 2m2 = -17 + 5m + 17 + -5m Reorder the terms: 5 + -7m + 2m2 = -17 + 17 + 5m + -5m Combine like terms: -17 + 17 = 0 5 + -7m + 2m2 = 0 + 5m + -5m 5 + -7m + 2m2 = 5m + -5m Combine like terms: 5m + -5m = 0 5 + -7m + 2m2 = 0 Factor a trinomial. (1 + -1m)(5 + -2m) = 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 '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {1, 2.5}
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