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Simplifying x(2) + mx + 1 = 0 Reorder the terms for easier multiplication: 2x + mx + 1 = 0 Reorder the terms: 1 + mx + 2x = 0 Solving 1 + mx + 2x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + mx + -1 + 2x = 0 + -1 Reorder the terms: 1 + -1 + mx + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + mx + 2x = 0 + -1 mx + 2x = 0 + -1 Combine like terms: 0 + -1 = -1 mx + 2x = -1 Add '-2x' to each side of the equation. mx + 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 mx + 0 = -1 + -2x mx = -1 + -2x Divide each side by 'x'. m = -1x-1 + -2 Simplifying m = -1x-1 + -2 Reorder the terms: m = -2 + -1x-1
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