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Simplifying x2 + 5x + m + 6 = 0 Reorder the terms: 6 + m + 5x + x2 = 0 Solving 6 + m + 5x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + m + 5x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + m + 5x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m + 5x + x2 = 0 + -6 m + 5x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 m + 5x + x2 = -6 Add '-5x' to each side of the equation. m + 5x + -5x + x2 = -6 + -5x Combine like terms: 5x + -5x = 0 m + 0 + x2 = -6 + -5x m + x2 = -6 + -5x Add '-1x2' to each side of the equation. m + x2 + -1x2 = -6 + -5x + -1x2 Combine like terms: x2 + -1x2 = 0 m + 0 = -6 + -5x + -1x2 m = -6 + -5x + -1x2 Simplifying m = -6 + -5x + -1x2
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