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Simplifying (m + -1) * x2 + -1(2m + 1) * x + m + 1 = 0 Reorder the terms: (-1 + m) * x2 + -1(2m + 1) * x + m + 1 = 0 Reorder the terms for easier multiplication: x2(-1 + m) + -1(2m + 1) * x + m + 1 = 0 (-1 * x2 + m * x2) + -1(2m + 1) * x + m + 1 = 0 Reorder the terms: (mx2 + -1x2) + -1(2m + 1) * x + m + 1 = 0 (mx2 + -1x2) + -1(2m + 1) * x + m + 1 = 0 Reorder the terms: mx2 + -1x2 + -1(1 + 2m) * x + m + 1 = 0 Reorder the terms for easier multiplication: mx2 + -1x2 + -1x(1 + 2m) + m + 1 = 0 mx2 + -1x2 + (1 * -1x + 2m * -1x) + m + 1 = 0 Reorder the terms: mx2 + -1x2 + (-2mx + -1x) + m + 1 = 0 mx2 + -1x2 + (-2mx + -1x) + m + 1 = 0 Reorder the terms: 1 + m + -2mx + mx2 + -1x + -1x2 = 0 Solving 1 + m + -2mx + mx2 + -1x + -1x2 = 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 + mx2 + -1x + -1 + -1x2 = 0 + -1 Reorder the terms: 1 + -1 + m + -2mx + mx2 + -1x + -1x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m + -2mx + mx2 + -1x + -1x2 = 0 + -1 m + -2mx + mx2 + -1x + -1x2 = 0 + -1 Combine like terms: 0 + -1 = -1 m + -2mx + mx2 + -1x + -1x2 = -1 Add 'x' to each side of the equation. m + -2mx + mx2 + -1x + x + -1x2 = -1 + x Combine like terms: -1x + x = 0 m + -2mx + mx2 + 0 + -1x2 = -1 + x m + -2mx + mx2 + -1x2 = -1 + x Add 'x2' to each side of the equation. m + -2mx + mx2 + -1x2 + x2 = -1 + x + x2 Combine like terms: -1x2 + x2 = 0 m + -2mx + mx2 + 0 = -1 + x + x2 m + -2mx + mx2 = -1 + x + x2 Reorder the terms: 1 + m + -2mx + mx2 + -1x + -1x2 = -1 + x + x2 + 1 + -1x + -1x2 Reorder the terms: 1 + m + -2mx + mx2 + -1x + -1x2 = -1 + 1 + x + -1x + x2 + -1x2 Combine like terms: -1 + 1 = 0 1 + m + -2mx + mx2 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2 1 + m + -2mx + mx2 + -1x + -1x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 1 + m + -2mx + mx2 + -1x + -1x2 = 0 + x2 + -1x2 1 + m + -2mx + mx2 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + m + -2mx + mx2 + -1x + -1x2 = 0 The solution to this equation could not be determined.
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