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Simplifying [m + 7][m + -5] = 0 Reorder the terms: [7 + m][m + -5] = 0 Reorder the terms: [7 + m][-5 + m] = 0 Multiply [7 + m] * [-5 + m] [7[-5 + m] + m[-5 + m]] = 0 [[-5 * 7 + m * 7] + m[-5 + m]] = 0 [[-35 + 7m] + m[-5 + m]] = 0 [-35 + 7m + [-5 * m + m * m]] = 0 [-35 + 7m + [-5m + m2]] = 0 Combine like terms: 7m + -5m = 2m [-35 + 2m + m2] = 0 Solving -35 + 2m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -1m)(5 + -1m) = 0Subproblem 1
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 = -7Subproblem 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 = {-7, 5}
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