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Simplifying x2 + (mx + -2m + 4) + 4x + 2(mx + -2m + 4) = 0 Reorder the terms: x2 + (4 + -2m + mx) + 4x + 2(mx + -2m + 4) = 0 Remove parenthesis around (4 + -2m + mx) x2 + 4 + -2m + mx + 4x + 2(mx + -2m + 4) = 0 Reorder the terms: x2 + 4 + -2m + mx + 4x + 2(4 + -2m + mx) = 0 x2 + 4 + -2m + mx + 4x + (4 * 2 + -2m * 2 + mx * 2) = 0 x2 + 4 + -2m + mx + 4x + (8 + -4m + 2mx) = 0 Reorder the terms: 4 + 8 + -2m + -4m + mx + 2mx + 4x + x2 = 0 Combine like terms: 4 + 8 = 12 12 + -2m + -4m + mx + 2mx + 4x + x2 = 0 Combine like terms: -2m + -4m = -6m 12 + -6m + mx + 2mx + 4x + x2 = 0 Combine like terms: mx + 2mx = 3mx 12 + -6m + 3mx + 4x + x2 = 0 Solving 12 + -6m + 3mx + 4x + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -6m + 3mx + 4x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -6m + 3mx + 4x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6m + 3mx + 4x + x2 = 0 + -12 -6m + 3mx + 4x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6m + 3mx + 4x + x2 = -12 Add '-4x' to each side of the equation. -6m + 3mx + 4x + -4x + x2 = -12 + -4x Combine like terms: 4x + -4x = 0 -6m + 3mx + 0 + x2 = -12 + -4x -6m + 3mx + x2 = -12 + -4x Add '-1x2' to each side of the equation. -6m + 3mx + x2 + -1x2 = -12 + -4x + -1x2 Combine like terms: x2 + -1x2 = 0 -6m + 3mx + 0 = -12 + -4x + -1x2 -6m + 3mx = -12 + -4x + -1x2 Reorder the terms: 12 + -6m + 3mx + 4x + x2 = -12 + -4x + -1x2 + 12 + 4x + x2 Reorder the terms: 12 + -6m + 3mx + 4x + x2 = -12 + 12 + -4x + 4x + -1x2 + x2 Combine like terms: -12 + 12 = 0 12 + -6m + 3mx + 4x + x2 = 0 + -4x + 4x + -1x2 + x2 12 + -6m + 3mx + 4x + x2 = -4x + 4x + -1x2 + x2 Combine like terms: -4x + 4x = 0 12 + -6m + 3mx + 4x + x2 = 0 + -1x2 + x2 12 + -6m + 3mx + 4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 12 + -6m + 3mx + 4x + x2 = 0 The solution to this equation could not be determined.
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