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Simplifying 2mx2 + (2m + -3n) * x + -3n = 0 Reorder the terms for easier multiplication: 2mx2 + x(2m + -3n) + -3n = 0 2mx2 + (2m * x + -3n * x) + -3n = 0 2mx2 + (2mx + -3nx) + -3n = 0 Reorder the terms: 2mx + 2mx2 + -3n + -3nx = 0 Solving 2mx + 2mx2 + -3n + -3nx = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 2mx + 2mx2 + -3n + 3n + -3nx = 0 + 3n Combine like terms: -3n + 3n = 0 2mx + 2mx2 + 0 + -3nx = 0 + 3n 2mx + 2mx2 + -3nx = 0 + 3n Remove the zero: 2mx + 2mx2 + -3nx = 3n Add '3nx' to each side of the equation. 2mx + 2mx2 + -3nx + 3nx = 3n + 3nx Combine like terms: -3nx + 3nx = 0 2mx + 2mx2 + 0 = 3n + 3nx 2mx + 2mx2 = 3n + 3nx Reorder the terms: 2mx + 2mx2 + -3n + -3nx = 3n + -3n + 3nx + -3nx Combine like terms: 3n + -3n = 0 2mx + 2mx2 + -3n + -3nx = 0 + 3nx + -3nx 2mx + 2mx2 + -3n + -3nx = 3nx + -3nx Combine like terms: 3nx + -3nx = 0 2mx + 2mx2 + -3n + -3nx = 0 The solution to this equation could not be determined.
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