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Simplifying 2(m + -1)(m + 1) = 7(m + 2) + -1 Reorder the terms: 2(-1 + m)(m + 1) = 7(m + 2) + -1 Reorder the terms: 2(-1 + m)(1 + m) = 7(m + 2) + -1 Multiply (-1 + m) * (1 + m) 2(-1(1 + m) + m(1 + m)) = 7(m + 2) + -1 2((1 * -1 + m * -1) + m(1 + m)) = 7(m + 2) + -1 2((-1 + -1m) + m(1 + m)) = 7(m + 2) + -1 2(-1 + -1m + (1 * m + m * m)) = 7(m + 2) + -1 2(-1 + -1m + (1m + m2)) = 7(m + 2) + -1 Combine like terms: -1m + 1m = 0 2(-1 + 0 + m2) = 7(m + 2) + -1 2(-1 + m2) = 7(m + 2) + -1 (-1 * 2 + m2 * 2) = 7(m + 2) + -1 (-2 + 2m2) = 7(m + 2) + -1 Reorder the terms: -2 + 2m2 = 7(2 + m) + -1 -2 + 2m2 = (2 * 7 + m * 7) + -1 -2 + 2m2 = (14 + 7m) + -1 Reorder the terms: -2 + 2m2 = 14 + -1 + 7m Combine like terms: 14 + -1 = 13 -2 + 2m2 = 13 + 7m Solving -2 + 2m2 = 13 + 7m Solving for variable 'm'. Reorder the terms: -2 + -13 + -7m + 2m2 = 13 + 7m + -13 + -7m Combine like terms: -2 + -13 = -15 -15 + -7m + 2m2 = 13 + 7m + -13 + -7m Reorder the terms: -15 + -7m + 2m2 = 13 + -13 + 7m + -7m Combine like terms: 13 + -13 = 0 -15 + -7m + 2m2 = 0 + 7m + -7m -15 + -7m + 2m2 = 7m + -7m Combine like terms: 7m + -7m = 0 -15 + -7m + 2m2 = 0 Factor a trinomial. (-3 + -2m)(5 + -1m) = 0Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve: Simplifying -3 + -2m = 0 Solving -3 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 0 + 3 -2m = 0 + 3 Combine like terms: 0 + 3 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-1.5, 5}
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