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Simplifying 4m + 2mn + m2 + m + 3m2 = 0 Reorder the terms: 4m + m + 2mn + m2 + 3m2 = 0 Combine like terms: 4m + m = 5m 5m + 2mn + m2 + 3m2 = 0 Combine like terms: m2 + 3m2 = 4m2 5m + 2mn + 4m2 = 0 Solving 5m + 2mn + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(5 + 2n + 4m) = 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 '(5 + 2n + 4m)' equal to zero and attempt to solve: Simplifying 5 + 2n + 4m = 0 Reorder the terms: 5 + 4m + 2n = 0 Solving 5 + 4m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4m + -5 + 2n = 0 + -5 Reorder the terms: 5 + -5 + 4m + 2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4m + 2n = 0 + -5 4m + 2n = 0 + -5 Combine like terms: 0 + -5 = -5 4m + 2n = -5 Add '-2n' to each side of the equation. 4m + 2n + -2n = -5 + -2n Combine like terms: 2n + -2n = 0 4m + 0 = -5 + -2n 4m = -5 + -2n Divide each side by '4'. m = -1.25 + -0.5n Simplifying m = -1.25 + -0.5nSolution
m = {0, -1.25 + -0.5n}
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