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Simplifying (2m + 3) * x2 + (4m + -2) + -1(m + 1) = 0 Reorder the terms: (3 + 2m) * x2 + (4m + -2) + -1(m + 1) = 0 Reorder the terms for easier multiplication: x2(3 + 2m) + (4m + -2) + -1(m + 1) = 0 (3 * x2 + 2m * x2) + (4m + -2) + -1(m + 1) = 0 Reorder the terms: (2mx2 + 3x2) + (4m + -2) + -1(m + 1) = 0 (2mx2 + 3x2) + (4m + -2) + -1(m + 1) = 0 Reorder the terms: 2mx2 + 3x2 + (-2 + 4m) + -1(m + 1) = 0 Remove parenthesis around (-2 + 4m) 2mx2 + 3x2 + -2 + 4m + -1(m + 1) = 0 Reorder the terms: 2mx2 + 3x2 + -2 + 4m + -1(1 + m) = 0 2mx2 + 3x2 + -2 + 4m + (1 * -1 + m * -1) = 0 2mx2 + 3x2 + -2 + 4m + (-1 + -1m) = 0 Reorder the terms: -2 + -1 + 4m + -1m + 2mx2 + 3x2 = 0 Combine like terms: -2 + -1 = -3 -3 + 4m + -1m + 2mx2 + 3x2 = 0 Combine like terms: 4m + -1m = 3m -3 + 3m + 2mx2 + 3x2 = 0 Solving -3 + 3m + 2mx2 + 3x2 = 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 + 3m + 2mx2 + 3 + 3x2 = 0 + 3 Reorder the terms: -3 + 3 + 3m + 2mx2 + 3x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3m + 2mx2 + 3x2 = 0 + 3 3m + 2mx2 + 3x2 = 0 + 3 Combine like terms: 0 + 3 = 3 3m + 2mx2 + 3x2 = 3 Add '-3x2' to each side of the equation. 3m + 2mx2 + 3x2 + -3x2 = 3 + -3x2 Combine like terms: 3x2 + -3x2 = 0 3m + 2mx2 + 0 = 3 + -3x2 3m + 2mx2 = 3 + -3x2 Reorder the terms: -3 + 3m + 2mx2 + 3x2 = 3 + -3x2 + -3 + 3x2 Reorder the terms: -3 + 3m + 2mx2 + 3x2 = 3 + -3 + -3x2 + 3x2 Combine like terms: 3 + -3 = 0 -3 + 3m + 2mx2 + 3x2 = 0 + -3x2 + 3x2 -3 + 3m + 2mx2 + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -3 + 3m + 2mx2 + 3x2 = 0 The solution to this equation could not be determined.
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