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Simplifying nx2 + 3x + -2x2 + mx = 0 Reorder the terms: mx + nx2 + 3x + -2x2 = 0 Solving mx + nx2 + 3x + -2x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1nx2' to each side of the equation. mx + nx2 + 3x + -1nx2 + -2x2 = 0 + -1nx2 Reorder the terms: mx + nx2 + -1nx2 + 3x + -2x2 = 0 + -1nx2 Combine like terms: nx2 + -1nx2 = 0 mx + 0 + 3x + -2x2 = 0 + -1nx2 mx + 3x + -2x2 = 0 + -1nx2 Remove the zero: mx + 3x + -2x2 = -1nx2 Add '-3x' to each side of the equation. mx + 3x + -3x + -2x2 = -1nx2 + -3x Combine like terms: 3x + -3x = 0 mx + 0 + -2x2 = -1nx2 + -3x mx + -2x2 = -1nx2 + -3x Add '2x2' to each side of the equation. mx + -2x2 + 2x2 = -1nx2 + -3x + 2x2 Combine like terms: -2x2 + 2x2 = 0 mx + 0 = -1nx2 + -3x + 2x2 mx = -1nx2 + -3x + 2x2 Divide each side by 'x'. m = -1nx + -3 + 2x Simplifying m = -1nx + -3 + 2x Reorder the terms: m = -3 + -1nx + 2x
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