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Simplifying mx2 + mx + 2n = 1 + 4x Reorder the terms: mx + mx2 + 2n = 1 + 4x Solving mx + mx2 + 2n = 1 + 4x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. mx + mx2 + 2n + -2n = 1 + -2n + 4x Combine like terms: 2n + -2n = 0 mx + mx2 + 0 = 1 + -2n + 4x mx + mx2 = 1 + -2n + 4x Reorder the terms: -1 + mx + mx2 + 2n + -4x = 1 + -2n + 4x + -1 + 2n + -4x Reorder the terms: -1 + mx + mx2 + 2n + -4x = 1 + -1 + -2n + 2n + 4x + -4x Combine like terms: 1 + -1 = 0 -1 + mx + mx2 + 2n + -4x = 0 + -2n + 2n + 4x + -4x -1 + mx + mx2 + 2n + -4x = -2n + 2n + 4x + -4x Combine like terms: -2n + 2n = 0 -1 + mx + mx2 + 2n + -4x = 0 + 4x + -4x -1 + mx + mx2 + 2n + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -1 + mx + mx2 + 2n + -4x = 0 The solution to this equation could not be determined.
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