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Simplifying (m2 + -4m + 5) + -1(6m2 + -2) + -1(-2m + 4) = 0 Reorder the terms: (5 + -4m + m2) + -1(6m2 + -2) + -1(-2m + 4) = 0 Remove parenthesis around (5 + -4m + m2) 5 + -4m + m2 + -1(6m2 + -2) + -1(-2m + 4) = 0 Reorder the terms: 5 + -4m + m2 + -1(-2 + 6m2) + -1(-2m + 4) = 0 5 + -4m + m2 + (-2 * -1 + 6m2 * -1) + -1(-2m + 4) = 0 5 + -4m + m2 + (2 + -6m2) + -1(-2m + 4) = 0 Reorder the terms: 5 + -4m + m2 + 2 + -6m2 + -1(4 + -2m) = 0 5 + -4m + m2 + 2 + -6m2 + (4 * -1 + -2m * -1) = 0 5 + -4m + m2 + 2 + -6m2 + (-4 + 2m) = 0 Reorder the terms: 5 + 2 + -4 + -4m + 2m + m2 + -6m2 = 0 Combine like terms: 5 + 2 = 7 7 + -4 + -4m + 2m + m2 + -6m2 = 0 Combine like terms: 7 + -4 = 3 3 + -4m + 2m + m2 + -6m2 = 0 Combine like terms: -4m + 2m = -2m 3 + -2m + m2 + -6m2 = 0 Combine like terms: m2 + -6m2 = -5m2 3 + -2m + -5m2 = 0 Solving 3 + -2m + -5m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -5m)(1 + m) = 0Subproblem 1
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 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 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 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 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {0.6, -1}
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