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Simplifying Mx2 + 2(m + 1) * x + m + 1 = 0 Reorder the terms: x2M + 2(1 + m) * x + m + 1 = 0 Reorder the terms for easier multiplication: x2M + 2x(1 + m) + m + 1 = 0 x2M + (1 * 2x + m * 2x) + m + 1 = 0 Reorder the terms: x2M + (2mx + 2x) + m + 1 = 0 x2M + (2mx + 2x) + m + 1 = 0 Reorder the terms: 1 + m + 2mx + 2x + x2M = 0 Solving 1 + m + 2mx + 2x + x2M = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + m + 2mx + 2x + -1 + x2M = 0 + -1 Reorder the terms: 1 + -1 + m + 2mx + 2x + x2M = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m + 2mx + 2x + x2M = 0 + -1 m + 2mx + 2x + x2M = 0 + -1 Combine like terms: 0 + -1 = -1 m + 2mx + 2x + x2M = -1 Add '-2x' to each side of the equation. m + 2mx + 2x + -2x + x2M = -1 + -2x Combine like terms: 2x + -2x = 0 m + 2mx + 0 + x2M = -1 + -2x m + 2mx + x2M = -1 + -2x Add '-1x2M' to each side of the equation. m + 2mx + x2M + -1x2M = -1 + -2x + -1x2M Combine like terms: x2M + -1x2M = 0 m + 2mx + 0 = -1 + -2x + -1x2M m + 2mx = -1 + -2x + -1x2M Reorder the terms: 1 + m + 2mx + 2x + x2M = -1 + -2x + -1x2M + 1 + 2x + x2M Reorder the terms: 1 + m + 2mx + 2x + x2M = -1 + 1 + -2x + 2x + -1x2M + x2M Combine like terms: -1 + 1 = 0 1 + m + 2mx + 2x + x2M = 0 + -2x + 2x + -1x2M + x2M 1 + m + 2mx + 2x + x2M = -2x + 2x + -1x2M + x2M Combine like terms: -2x + 2x = 0 1 + m + 2mx + 2x + x2M = 0 + -1x2M + x2M 1 + m + 2mx + 2x + x2M = -1x2M + x2M Combine like terms: -1x2M + x2M = 0 1 + m + 2mx + 2x + x2M = 0 The solution to this equation could not be determined.
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