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