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