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Simplifying (2m + 1) * x2 + x + 4 = 0 Reorder the terms: (1 + 2m) * x2 + x + 4 = 0 Reorder the terms for easier multiplication: x2(1 + 2m) + x + 4 = 0 (1 * x2 + 2m * x2) + x + 4 = 0 Reorder the terms: (2mx2 + 1x2) + x + 4 = 0 (2mx2 + 1x2) + x + 4 = 0 Reorder the terms: 4 + 2mx2 + x + 1x2 = 0 Solving 4 + 2mx2 + x + 1x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2mx2 + x + -4 + 1x2 = 0 + -4 Reorder the terms: 4 + -4 + 2mx2 + x + 1x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2mx2 + x + 1x2 = 0 + -4 2mx2 + x + 1x2 = 0 + -4 Combine like terms: 0 + -4 = -4 2mx2 + x + 1x2 = -4 Add '-1x' to each side of the equation. 2mx2 + x + -1x + 1x2 = -4 + -1x Combine like terms: x + -1x = 0 2mx2 + 0 + 1x2 = -4 + -1x 2mx2 + 1x2 = -4 + -1x Add '-1x2' to each side of the equation. 2mx2 + 1x2 + -1x2 = -4 + -1x + -1x2 Combine like terms: 1x2 + -1x2 = 0 2mx2 + 0 = -4 + -1x + -1x2 2mx2 = -4 + -1x + -1x2 Divide each side by '2x2'. m = -2x-2 + -0.5x-1 + -0.5 Simplifying m = -2x-2 + -0.5x-1 + -0.5 Reorder the terms: m = -0.5 + -2x-2 + -0.5x-1
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