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Simplifying mx2 + (1.5 + -3m) * x + -8 = 0 Reorder the terms for easier multiplication: mx2 + x(1.5 + -3m) + -8 = 0 mx2 + (1.5 * x + -3m * x) + -8 = 0 Reorder the terms: mx2 + (-3mx + 1.5x) + -8 = 0 mx2 + (-3mx + 1.5x) + -8 = 0 Reorder the terms: -8 + -3mx + mx2 + 1.5x = 0 Solving -8 + -3mx + mx2 + 1.5x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3mx + mx2 + 8 + 1.5x = 0 + 8 Reorder the terms: -8 + 8 + -3mx + mx2 + 1.5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3mx + mx2 + 1.5x = 0 + 8 -3mx + mx2 + 1.5x = 0 + 8 Combine like terms: 0 + 8 = 8 -3mx + mx2 + 1.5x = 8 Add '-1.5x' to each side of the equation. -3mx + mx2 + 1.5x + -1.5x = 8 + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -3mx + mx2 + 0.0 = 8 + -1.5x -3mx + mx2 = 8 + -1.5x Reorder the terms: -8 + -3mx + mx2 + 1.5x = 8 + -1.5x + -8 + 1.5x Reorder the terms: -8 + -3mx + mx2 + 1.5x = 8 + -8 + -1.5x + 1.5x Combine like terms: 8 + -8 = 0 -8 + -3mx + mx2 + 1.5x = 0 + -1.5x + 1.5x -8 + -3mx + mx2 + 1.5x = -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -8 + -3mx + mx2 + 1.5x = 0.0 The solution to this equation could not be determined.
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