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Simplifying x4 + (m + -2) * x2 + m + 1 = 0 Reorder the terms: x4 + (-2 + m) * x2 + m + 1 = 0 Reorder the terms for easier multiplication: x4 + x2(-2 + m) + m + 1 = 0 x4 + (-2 * x2 + m * x2) + m + 1 = 0 Reorder the terms: x4 + (mx2 + -2x2) + m + 1 = 0 x4 + (mx2 + -2x2) + m + 1 = 0 Reorder the terms: 1 + m + mx2 + -2x2 + x4 = 0 Solving 1 + m + mx2 + -2x2 + x4 = 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 + m + mx2 + -2x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + m + mx2 + -2x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m + mx2 + -2x2 + x4 = 0 + -1 m + mx2 + -2x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 m + mx2 + -2x2 + x4 = -1 Add '2x2' to each side of the equation. m + mx2 + -2x2 + 2x2 + x4 = -1 + 2x2 Combine like terms: -2x2 + 2x2 = 0 m + mx2 + 0 + x4 = -1 + 2x2 m + mx2 + x4 = -1 + 2x2 Add '-1x4' to each side of the equation. m + mx2 + x4 + -1x4 = -1 + 2x2 + -1x4 Combine like terms: x4 + -1x4 = 0 m + mx2 + 0 = -1 + 2x2 + -1x4 m + mx2 = -1 + 2x2 + -1x4 Reorder the terms: 1 + m + mx2 + -2x2 + x4 = -1 + 2x2 + -1x4 + 1 + -2x2 + x4 Reorder the terms: 1 + m + mx2 + -2x2 + x4 = -1 + 1 + 2x2 + -2x2 + -1x4 + x4 Combine like terms: -1 + 1 = 0 1 + m + mx2 + -2x2 + x4 = 0 + 2x2 + -2x2 + -1x4 + x4 1 + m + mx2 + -2x2 + x4 = 2x2 + -2x2 + -1x4 + x4 Combine like terms: 2x2 + -2x2 = 0 1 + m + mx2 + -2x2 + x4 = 0 + -1x4 + x4 1 + m + mx2 + -2x2 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 1 + m + mx2 + -2x2 + x4 = 0 The solution to this equation could not be determined.
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