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Simplifying (4m2 + -1mn + 3) + -1(m2 + -2mn + 3) = 0 Reorder the terms: (3 + -1mn + 4m2) + -1(m2 + -2mn + 3) = 0 Remove parenthesis around (3 + -1mn + 4m2) 3 + -1mn + 4m2 + -1(m2 + -2mn + 3) = 0 Reorder the terms: 3 + -1mn + 4m2 + -1(3 + -2mn + m2) = 0 3 + -1mn + 4m2 + (3 * -1 + -2mn * -1 + m2 * -1) = 0 3 + -1mn + 4m2 + (-3 + 2mn + -1m2) = 0 Reorder the terms: 3 + -3 + -1mn + 2mn + 4m2 + -1m2 = 0 Combine like terms: 3 + -3 = 0 0 + -1mn + 2mn + 4m2 + -1m2 = 0 -1mn + 2mn + 4m2 + -1m2 = 0 Combine like terms: -1mn + 2mn = 1mn 1mn + 4m2 + -1m2 = 0 Combine like terms: 4m2 + -1m2 = 3m2 1mn + 3m2 = 0 Solving 1mn + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(n + 3m) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(n + 3m)' equal to zero and attempt to solve: Simplifying n + 3m = 0 Reorder the terms: 3m + n = 0 Solving 3m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 3m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 3m + 0 = 0 + -1n 3m = 0 + -1n Remove the zero: 3m = -1n Divide each side by '3'. m = -0.3333333333n Simplifying m = -0.3333333333nSolution
m = {0, -0.3333333333n}
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