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Simplifying (3m2 + 1) + (m2 + -4m) = 0 Reorder the terms: (1 + 3m2) + (m2 + -4m) = 0 Remove parenthesis around (1 + 3m2) 1 + 3m2 + (m2 + -4m) = 0 Reorder the terms: 1 + 3m2 + (-4m + m2) = 0 Remove parenthesis around (-4m + m2) 1 + 3m2 + -4m + m2 = 0 Reorder the terms: 1 + -4m + 3m2 + m2 = 0 Combine like terms: 3m2 + m2 = 4m2 1 + -4m + 4m2 = 0 Solving 1 + -4m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -2m)(1 + -2m) = 0Subproblem 1
Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Subproblem 2
Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {0.5, 0.5}
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