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Simplifying 2mx2 + -2(1 + 2m) * x + (3 + 2m) = 0 Reorder the terms for easier multiplication: 2mx2 + -2x(1 + 2m) + (3 + 2m) = 0 2mx2 + (1 * -2x + 2m * -2x) + (3 + 2m) = 0 Reorder the terms: 2mx2 + (-4mx + -2x) + (3 + 2m) = 0 2mx2 + (-4mx + -2x) + (3 + 2m) = 0 Remove parenthesis around (3 + 2m) 2mx2 + -4mx + -2x + 3 + 2m = 0 Reorder the terms: 3 + 2m + -4mx + 2mx2 + -2x = 0 Solving 3 + 2m + -4mx + 2mx2 + -2x = 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 + -4mx + 2mx2 + -3 + -2x = 0 + -3 Reorder the terms: 3 + -3 + 2m + -4mx + 2mx2 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m + -4mx + 2mx2 + -2x = 0 + -3 2m + -4mx + 2mx2 + -2x = 0 + -3 Combine like terms: 0 + -3 = -3 2m + -4mx + 2mx2 + -2x = -3 Add '2x' to each side of the equation. 2m + -4mx + 2mx2 + -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 2m + -4mx + 2mx2 + 0 = -3 + 2x 2m + -4mx + 2mx2 = -3 + 2x Reorder the terms: 3 + 2m + -4mx + 2mx2 + -2x = -3 + 2x + 3 + -2x Reorder the terms: 3 + 2m + -4mx + 2mx2 + -2x = -3 + 3 + 2x + -2x Combine like terms: -3 + 3 = 0 3 + 2m + -4mx + 2mx2 + -2x = 0 + 2x + -2x 3 + 2m + -4mx + 2mx2 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 3 + 2m + -4mx + 2mx2 + -2x = 0 The solution to this equation could not be determined.
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