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Simplifying x2 + (2 + m) * x + 9 = 0 Reorder the terms for easier multiplication: x2 + x(2 + m) + 9 = 0 x2 + (2 * x + m * x) + 9 = 0 Reorder the terms: x2 + (mx + 2x) + 9 = 0 x2 + (mx + 2x) + 9 = 0 Reorder the terms: 9 + mx + 2x + x2 = 0 Solving 9 + mx + 2x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + mx + 2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + mx + 2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + mx + 2x + x2 = 0 + -9 mx + 2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 mx + 2x + x2 = -9 Add '-2x' to each side of the equation. mx + 2x + -2x + x2 = -9 + -2x Combine like terms: 2x + -2x = 0 mx + 0 + x2 = -9 + -2x mx + x2 = -9 + -2x Add '-1x2' to each side of the equation. mx + x2 + -1x2 = -9 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 mx + 0 = -9 + -2x + -1x2 mx = -9 + -2x + -1x2 Divide each side by 'x'. m = -9x-1 + -2 + -1x Simplifying m = -9x-1 + -2 + -1x Reorder the terms: m = -2 + -9x-1 + -1x
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