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Simplifying x2 + 3mx + -5n = 0 Reorder the terms: 3mx + -5n + x2 = 0 Solving 3mx + -5n + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 3mx + -5n + 5n + x2 = 0 + 5n Combine like terms: -5n + 5n = 0 3mx + 0 + x2 = 0 + 5n 3mx + x2 = 0 + 5n Remove the zero: 3mx + x2 = 5n Add '-1x2' to each side of the equation. 3mx + x2 + -1x2 = 5n + -1x2 Combine like terms: x2 + -1x2 = 0 3mx + 0 = 5n + -1x2 3mx = 5n + -1x2 Divide each side by '3x'. m = 1.666666667nx-1 + -0.3333333333x Simplifying m = 1.666666667nx-1 + -0.3333333333x
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