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Simplifying [(7m2 + 2m + -3) + -1(5m2 + -2m + 9)] + -1m2 + m + 6 = 0 Reorder the terms: [(-3 + 2m + 7m2) + -1(5m2 + -2m + 9)] + -1m2 + m + 6 = 0 Remove parenthesis around (-3 + 2m + 7m2) [-3 + 2m + 7m2 + -1(5m2 + -2m + 9)] + -1m2 + m + 6 = 0 Reorder the terms: [-3 + 2m + 7m2 + -1(9 + -2m + 5m2)] + -1m2 + m + 6 = 0 [-3 + 2m + 7m2 + (9 * -1 + -2m * -1 + 5m2 * -1)] + -1m2 + m + 6 = 0 [-3 + 2m + 7m2 + (-9 + 2m + -5m2)] + -1m2 + m + 6 = 0 Reorder the terms: [-3 + -9 + 2m + 2m + 7m2 + -5m2] + -1m2 + m + 6 = 0 Combine like terms: -3 + -9 = -12 [-12 + 2m + 2m + 7m2 + -5m2] + -1m2 + m + 6 = 0 Combine like terms: 2m + 2m = 4m [-12 + 4m + 7m2 + -5m2] + -1m2 + m + 6 = 0 Combine like terms: 7m2 + -5m2 = 2m2 [-12 + 4m + 2m2] + -1m2 + m + 6 = 0 Remove brackets around [-12 + 4m + 2m2] -12 + 4m + 2m2 + -1m2 + m + 6 = 0 Reorder the terms: -12 + 6 + 4m + m + 2m2 + -1m2 = 0 Combine like terms: -12 + 6 = -6 -6 + 4m + m + 2m2 + -1m2 = 0 Combine like terms: 4m + m = 5m -6 + 5m + 2m2 + -1m2 = 0 Combine like terms: 2m2 + -1m2 = 1m2 -6 + 5m + 1m2 = 0 Solving -6 + 5m + 1m2 = 0 Solving for variable 'm'. Factor a trinomial. (-6 + -1m)(1 + -1m) = 0Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6Subproblem 2
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 = 1Solution
m = {-6, 1}
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