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Simplifying x2 + 8x + 5m + 1 = 0 Reorder the terms: 1 + 5m + 8x + x2 = 0 Solving 1 + 5m + 8x + 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 + 5m + 8x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 5m + 8x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m + 8x + x2 = 0 + -1 5m + 8x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 5m + 8x + x2 = -1 Add '-8x' to each side of the equation. 5m + 8x + -8x + x2 = -1 + -8x Combine like terms: 8x + -8x = 0 5m + 0 + x2 = -1 + -8x 5m + x2 = -1 + -8x Add '-1x2' to each side of the equation. 5m + x2 + -1x2 = -1 + -8x + -1x2 Combine like terms: x2 + -1x2 = 0 5m + 0 = -1 + -8x + -1x2 5m = -1 + -8x + -1x2 Divide each side by '5'. m = -0.2 + -1.6x + -0.2x2 Simplifying m = -0.2 + -1.6x + -0.2x2
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