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