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Simplifying m(4x + -3) + -1(3x + 2) + -7x(x + -1) = 0 Reorder the terms: m(-3 + 4x) + -1(3x + 2) + -7x(x + -1) = 0 (-3 * m + 4x * m) + -1(3x + 2) + -7x(x + -1) = 0 (-3m + 4mx) + -1(3x + 2) + -7x(x + -1) = 0 Reorder the terms: -3m + 4mx + -1(2 + 3x) + -7x(x + -1) = 0 -3m + 4mx + (2 * -1 + 3x * -1) + -7x(x + -1) = 0 -3m + 4mx + (-2 + -3x) + -7x(x + -1) = 0 Reorder the terms: -3m + 4mx + -2 + -3x + -7x(-1 + x) = 0 -3m + 4mx + -2 + -3x + (-1 * -7x + x * -7x) = 0 -3m + 4mx + -2 + -3x + (7x + -7x2) = 0 Reorder the terms: -2 + -3m + 4mx + -3x + 7x + -7x2 = 0 Combine like terms: -3x + 7x = 4x -2 + -3m + 4mx + 4x + -7x2 = 0 Solving -2 + -3m + 4mx + 4x + -7x2 = 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 + -3m + 4mx + 4x + 2 + -7x2 = 0 + 2 Reorder the terms: -2 + 2 + -3m + 4mx + 4x + -7x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3m + 4mx + 4x + -7x2 = 0 + 2 -3m + 4mx + 4x + -7x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -3m + 4mx + 4x + -7x2 = 2 Add '-4x' to each side of the equation. -3m + 4mx + 4x + -4x + -7x2 = 2 + -4x Combine like terms: 4x + -4x = 0 -3m + 4mx + 0 + -7x2 = 2 + -4x -3m + 4mx + -7x2 = 2 + -4x Add '7x2' to each side of the equation. -3m + 4mx + -7x2 + 7x2 = 2 + -4x + 7x2 Combine like terms: -7x2 + 7x2 = 0 -3m + 4mx + 0 = 2 + -4x + 7x2 -3m + 4mx = 2 + -4x + 7x2 Reorder the terms: -2 + -3m + 4mx + 4x + -7x2 = 2 + -4x + 7x2 + -2 + 4x + -7x2 Reorder the terms: -2 + -3m + 4mx + 4x + -7x2 = 2 + -2 + -4x + 4x + 7x2 + -7x2 Combine like terms: 2 + -2 = 0 -2 + -3m + 4mx + 4x + -7x2 = 0 + -4x + 4x + 7x2 + -7x2 -2 + -3m + 4mx + 4x + -7x2 = -4x + 4x + 7x2 + -7x2 Combine like terms: -4x + 4x = 0 -2 + -3m + 4mx + 4x + -7x2 = 0 + 7x2 + -7x2 -2 + -3m + 4mx + 4x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -2 + -3m + 4mx + 4x + -7x2 = 0 The solution to this equation could not be determined.
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