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Simplifying mx2 + -4x + 3m + 1 = 0 Reorder the terms: 1 + 3m + mx2 + -4x = 0 Solving 1 + 3m + mx2 + -4x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3m + mx2 + -1 + -4x = 0 + -1 Reorder the terms: 1 + -1 + 3m + mx2 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3m + mx2 + -4x = 0 + -1 3m + mx2 + -4x = 0 + -1 Combine like terms: 0 + -1 = -1 3m + mx2 + -4x = -1 Add '4x' to each side of the equation. 3m + mx2 + -4x + 4x = -1 + 4x Combine like terms: -4x + 4x = 0 3m + mx2 + 0 = -1 + 4x 3m + mx2 = -1 + 4x Reorder the terms: 1 + 3m + mx2 + -4x = -1 + 4x + 1 + -4x Reorder the terms: 1 + 3m + mx2 + -4x = -1 + 1 + 4x + -4x Combine like terms: -1 + 1 = 0 1 + 3m + mx2 + -4x = 0 + 4x + -4x 1 + 3m + mx2 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 1 + 3m + mx2 + -4x = 0 The solution to this equation could not be determined.
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