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Simplifying x2 + -4x + 2m + 6 = 0 Reorder the terms: 6 + 2m + -4x + x2 = 0 Solving 6 + 2m + -4x + 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 + 2m + -4x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 2m + -4x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2m + -4x + x2 = 0 + -6 2m + -4x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 2m + -4x + x2 = -6 Add '4x' to each side of the equation. 2m + -4x + 4x + x2 = -6 + 4x Combine like terms: -4x + 4x = 0 2m + 0 + x2 = -6 + 4x 2m + x2 = -6 + 4x Add '-1x2' to each side of the equation. 2m + x2 + -1x2 = -6 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 2m + 0 = -6 + 4x + -1x2 2m = -6 + 4x + -1x2 Divide each side by '2'. m = -3 + 2x + -0.5x2 Simplifying m = -3 + 2x + -0.5x2
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