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Simplifying (M + 3) * x2 + 2m(x + 1) + 3 = 0 Reorder the terms: (3 + M) * x2 + 2m(x + 1) + 3 = 0 Reorder the terms for easier multiplication: x2(3 + M) + 2m(x + 1) + 3 = 0 (3 * x2 + M * x2) + 2m(x + 1) + 3 = 0 (3x2 + x2M) + 2m(x + 1) + 3 = 0 Reorder the terms: 3x2 + x2M + 2m(1 + x) + 3 = 0 3x2 + x2M + (1 * 2m + x * 2m) + 3 = 0 3x2 + x2M + (2m + 2mx) + 3 = 0 Reorder the terms: 3 + 2m + 2mx + 3x2 + x2M = 0 Solving 3 + 2m + 2mx + 3x2 + x2M = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2m + 2mx + 3x2 + -3 + x2M = 0 + -3 Reorder the terms: 3 + -3 + 2m + 2mx + 3x2 + x2M = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m + 2mx + 3x2 + x2M = 0 + -3 2m + 2mx + 3x2 + x2M = 0 + -3 Combine like terms: 0 + -3 = -3 2m + 2mx + 3x2 + x2M = -3 Add '-3x2' to each side of the equation. 2m + 2mx + 3x2 + -3x2 + x2M = -3 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2m + 2mx + 0 + x2M = -3 + -3x2 2m + 2mx + x2M = -3 + -3x2 Add '-1x2M' to each side of the equation. 2m + 2mx + x2M + -1x2M = -3 + -3x2 + -1x2M Combine like terms: x2M + -1x2M = 0 2m + 2mx + 0 = -3 + -3x2 + -1x2M 2m + 2mx = -3 + -3x2 + -1x2M Reorder the terms: 3 + 2m + 2mx + 3x2 + x2M = -3 + -3x2 + -1x2M + 3 + 3x2 + x2M Reorder the terms: 3 + 2m + 2mx + 3x2 + x2M = -3 + 3 + -3x2 + 3x2 + -1x2M + x2M Combine like terms: -3 + 3 = 0 3 + 2m + 2mx + 3x2 + x2M = 0 + -3x2 + 3x2 + -1x2M + x2M 3 + 2m + 2mx + 3x2 + x2M = -3x2 + 3x2 + -1x2M + x2M Combine like terms: -3x2 + 3x2 = 0 3 + 2m + 2mx + 3x2 + x2M = 0 + -1x2M + x2M 3 + 2m + 2mx + 3x2 + x2M = -1x2M + x2M Combine like terms: -1x2M + x2M = 0 3 + 2m + 2mx + 3x2 + x2M = 0 The solution to this equation could not be determined.
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