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Simplifying X2 + 3mx + 1 + -4m = 0 Reorder the terms: 1 + X2 + -4m + 3mx = 0 Solving 1 + X2 + -4m + 3mx = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + X2 + -4m + -1 + 3mx = 0 + -1 Reorder the terms: 1 + -1 + X2 + -4m + 3mx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X2 + -4m + 3mx = 0 + -1 X2 + -4m + 3mx = 0 + -1 Combine like terms: 0 + -1 = -1 X2 + -4m + 3mx = -1 Add '4m' to each side of the equation. X2 + -4m + 4m + 3mx = -1 + 4m Combine like terms: -4m + 4m = 0 X2 + 0 + 3mx = -1 + 4m X2 + 3mx = -1 + 4m Add '-3mx' to each side of the equation. X2 + 3mx + -3mx = -1 + 4m + -3mx Combine like terms: 3mx + -3mx = 0 X2 + 0 = -1 + 4m + -3mx X2 = -1 + 4m + -3mx Simplifying X2 = -1 + 4m + -3mx Reorder the terms: 1 + X2 + -4m + 3mx = -1 + 4m + -3mx + 1 + -4m + 3mx Reorder the terms: 1 + X2 + -4m + 3mx = -1 + 1 + 4m + -4m + -3mx + 3mx Combine like terms: -1 + 1 = 0 1 + X2 + -4m + 3mx = 0 + 4m + -4m + -3mx + 3mx 1 + X2 + -4m + 3mx = 4m + -4m + -3mx + 3mx Combine like terms: 4m + -4m = 0 1 + X2 + -4m + 3mx = 0 + -3mx + 3mx 1 + X2 + -4m + 3mx = -3mx + 3mx Combine like terms: -3mx + 3mx = 0 1 + X2 + -4m + 3mx = 0 The solution to this equation could not be determined.
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