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Simplifying x2 + 4x + 3 + mx + 3m = 0 Reorder the terms: 3 + 3m + mx + 4x + x2 = 0 Solving 3 + 3m + mx + 4x + x2 = 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 + mx + 4x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 3m + mx + 4x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3m + mx + 4x + x2 = 0 + -3 3m + mx + 4x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 3m + mx + 4x + x2 = -3 Add '-4x' to each side of the equation. 3m + mx + 4x + -4x + x2 = -3 + -4x Combine like terms: 4x + -4x = 0 3m + mx + 0 + x2 = -3 + -4x 3m + mx + x2 = -3 + -4x Add '-1x2' to each side of the equation. 3m + mx + x2 + -1x2 = -3 + -4x + -1x2 Combine like terms: x2 + -1x2 = 0 3m + mx + 0 = -3 + -4x + -1x2 3m + mx = -3 + -4x + -1x2 Reorder the terms: 3 + 3m + mx + 4x + x2 = -3 + -4x + -1x2 + 3 + 4x + x2 Reorder the terms: 3 + 3m + mx + 4x + x2 = -3 + 3 + -4x + 4x + -1x2 + x2 Combine like terms: -3 + 3 = 0 3 + 3m + mx + 4x + x2 = 0 + -4x + 4x + -1x2 + x2 3 + 3m + mx + 4x + x2 = -4x + 4x + -1x2 + x2 Combine like terms: -4x + 4x = 0 3 + 3m + mx + 4x + x2 = 0 + -1x2 + x2 3 + 3m + mx + 4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + 3m + mx + 4x + x2 = 0 The solution to this equation could not be determined.
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