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Simplifying x2 + 3x + 2m + 1 = 0 Reorder the terms: 1 + 2m + 3x + x2 = 0 Solving 1 + 2m + 3x + x2 = 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 + 2m + 3x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 2m + 3x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m + 3x + x2 = 0 + -1 2m + 3x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2m + 3x + x2 = -1 Add '-3x' to each side of the equation. 2m + 3x + -3x + x2 = -1 + -3x Combine like terms: 3x + -3x = 0 2m + 0 + x2 = -1 + -3x 2m + x2 = -1 + -3x Add '-1x2' to each side of the equation. 2m + x2 + -1x2 = -1 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 2m + 0 = -1 + -3x + -1x2 2m = -1 + -3x + -1x2 Divide each side by '2'. m = -0.5 + -1.5x + -0.5x2 Simplifying m = -0.5 + -1.5x + -0.5x2
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