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Simplifying (2m + 1) * x2 + -3x + 2 = 0 Reorder the terms: (1 + 2m) * x2 + -3x + 2 = 0 Reorder the terms for easier multiplication: x2(1 + 2m) + -3x + 2 = 0 (1 * x2 + 2m * x2) + -3x + 2 = 0 Reorder the terms: (2mx2 + 1x2) + -3x + 2 = 0 (2mx2 + 1x2) + -3x + 2 = 0 Reorder the terms: 2 + 2mx2 + -3x + 1x2 = 0 Solving 2 + 2mx2 + -3x + 1x2 = 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 + 2mx2 + -3x + -2 + 1x2 = 0 + -2 Reorder the terms: 2 + -2 + 2mx2 + -3x + 1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2mx2 + -3x + 1x2 = 0 + -2 2mx2 + -3x + 1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2mx2 + -3x + 1x2 = -2 Add '3x' to each side of the equation. 2mx2 + -3x + 3x + 1x2 = -2 + 3x Combine like terms: -3x + 3x = 0 2mx2 + 0 + 1x2 = -2 + 3x 2mx2 + 1x2 = -2 + 3x Add '-1x2' to each side of the equation. 2mx2 + 1x2 + -1x2 = -2 + 3x + -1x2 Combine like terms: 1x2 + -1x2 = 0 2mx2 + 0 = -2 + 3x + -1x2 2mx2 = -2 + 3x + -1x2 Divide each side by '2x2'. m = -1x-2 + 1.5x-1 + -0.5 Simplifying m = -1x-2 + 1.5x-1 + -0.5 Reorder the terms: m = -0.5 + -1x-2 + 1.5x-1
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