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Simplifying x2 + -5x + 2m + -2 = 0 Reorder the terms: -2 + 2m + -5x + x2 = 0 Solving -2 + 2m + -5x + 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 + 2m + -5x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 2m + -5x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2m + -5x + x2 = 0 + 2 2m + -5x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 2m + -5x + x2 = 2 Add '5x' to each side of the equation. 2m + -5x + 5x + x2 = 2 + 5x Combine like terms: -5x + 5x = 0 2m + 0 + x2 = 2 + 5x 2m + x2 = 2 + 5x Add '-1x2' to each side of the equation. 2m + x2 + -1x2 = 2 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 2m + 0 = 2 + 5x + -1x2 2m = 2 + 5x + -1x2 Divide each side by '2'. m = 1 + 2.5x + -0.5x2 Simplifying m = 1 + 2.5x + -0.5x2
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