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