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Simplifying (m + 2) * x2 + 2(m + -1) * x + (m + -3) = 0 Reorder the terms: (2 + m) * x2 + 2(m + -1) * x + (m + -3) = 0 Reorder the terms for easier multiplication: x2(2 + m) + 2(m + -1) * x + (m + -3) = 0 (2 * x2 + m * x2) + 2(m + -1) * x + (m + -3) = 0 Reorder the terms: (mx2 + 2x2) + 2(m + -1) * x + (m + -3) = 0 (mx2 + 2x2) + 2(m + -1) * x + (m + -3) = 0 Reorder the terms: mx2 + 2x2 + 2(-1 + m) * x + (m + -3) = 0 Reorder the terms for easier multiplication: mx2 + 2x2 + 2x(-1 + m) + (m + -3) = 0 mx2 + 2x2 + (-1 * 2x + m * 2x) + (m + -3) = 0 Reorder the terms: mx2 + 2x2 + (2mx + -2x) + (m + -3) = 0 mx2 + 2x2 + (2mx + -2x) + (m + -3) = 0 Reorder the terms: mx2 + 2x2 + 2mx + -2x + (-3 + m) = 0 Remove parenthesis around (-3 + m) mx2 + 2x2 + 2mx + -2x + -3 + m = 0 Reorder the terms: -3 + m + 2mx + mx2 + -2x + 2x2 = 0 Solving -3 + m + 2mx + mx2 + -2x + 2x2 = 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 + m + 2mx + mx2 + -2x + 3 + 2x2 = 0 + 3 Reorder the terms: -3 + 3 + m + 2mx + mx2 + -2x + 2x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + m + 2mx + mx2 + -2x + 2x2 = 0 + 3 m + 2mx + mx2 + -2x + 2x2 = 0 + 3 Combine like terms: 0 + 3 = 3 m + 2mx + mx2 + -2x + 2x2 = 3 Add '2x' to each side of the equation. m + 2mx + mx2 + -2x + 2x + 2x2 = 3 + 2x Combine like terms: -2x + 2x = 0 m + 2mx + mx2 + 0 + 2x2 = 3 + 2x m + 2mx + mx2 + 2x2 = 3 + 2x Add '-2x2' to each side of the equation. m + 2mx + mx2 + 2x2 + -2x2 = 3 + 2x + -2x2 Combine like terms: 2x2 + -2x2 = 0 m + 2mx + mx2 + 0 = 3 + 2x + -2x2 m + 2mx + mx2 = 3 + 2x + -2x2 Reorder the terms: -3 + m + 2mx + mx2 + -2x + 2x2 = 3 + 2x + -2x2 + -3 + -2x + 2x2 Reorder the terms: -3 + m + 2mx + mx2 + -2x + 2x2 = 3 + -3 + 2x + -2x + -2x2 + 2x2 Combine like terms: 3 + -3 = 0 -3 + m + 2mx + mx2 + -2x + 2x2 = 0 + 2x + -2x + -2x2 + 2x2 -3 + m + 2mx + mx2 + -2x + 2x2 = 2x + -2x + -2x2 + 2x2 Combine like terms: 2x + -2x = 0 -3 + m + 2mx + mx2 + -2x + 2x2 = 0 + -2x2 + 2x2 -3 + m + 2mx + mx2 + -2x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -3 + m + 2mx + mx2 + -2x + 2x2 = 0 The solution to this equation could not be determined.
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