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Simplifying 3mx2 + -1(m + 1) * x + (3m + -2) = 0 Reorder the terms: 3mx2 + -1(1 + m) * x + (3m + -2) = 0 Reorder the terms for easier multiplication: 3mx2 + -1x(1 + m) + (3m + -2) = 0 3mx2 + (1 * -1x + m * -1x) + (3m + -2) = 0 Reorder the terms: 3mx2 + (-1mx + -1x) + (3m + -2) = 0 3mx2 + (-1mx + -1x) + (3m + -2) = 0 Reorder the terms: 3mx2 + -1mx + -1x + (-2 + 3m) = 0 Remove parenthesis around (-2 + 3m) 3mx2 + -1mx + -1x + -2 + 3m = 0 Reorder the terms: -2 + 3m + -1mx + 3mx2 + -1x = 0 Solving -2 + 3m + -1mx + 3mx2 + -1x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3m + -1mx + 3mx2 + 2 + -1x = 0 + 2 Reorder the terms: -2 + 2 + 3m + -1mx + 3mx2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3m + -1mx + 3mx2 + -1x = 0 + 2 3m + -1mx + 3mx2 + -1x = 0 + 2 Combine like terms: 0 + 2 = 2 3m + -1mx + 3mx2 + -1x = 2 Add 'x' to each side of the equation. 3m + -1mx + 3mx2 + -1x + x = 2 + x Combine like terms: -1x + x = 0 3m + -1mx + 3mx2 + 0 = 2 + x 3m + -1mx + 3mx2 = 2 + x Reorder the terms: -2 + 3m + -1mx + 3mx2 + -1x = 2 + x + -2 + -1x Reorder the terms: -2 + 3m + -1mx + 3mx2 + -1x = 2 + -2 + x + -1x Combine like terms: 2 + -2 = 0 -2 + 3m + -1mx + 3mx2 + -1x = 0 + x + -1x -2 + 3m + -1mx + 3mx2 + -1x = x + -1x Combine like terms: x + -1x = 0 -2 + 3m + -1mx + 3mx2 + -1x = 0 The solution to this equation could not be determined.
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