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Simplifying x4 + -4x2 + x + k = 0 Reorder the terms: k + x + -4x2 + x4 = 0 Solving k + x + -4x2 + x4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. k + x + -4x2 + -1x + x4 = 0 + -1x Reorder the terms: k + x + -1x + -4x2 + x4 = 0 + -1x Combine like terms: x + -1x = 0 k + 0 + -4x2 + x4 = 0 + -1x k + -4x2 + x4 = 0 + -1x Remove the zero: k + -4x2 + x4 = -1x Add '4x2' to each side of the equation. k + -4x2 + 4x2 + x4 = -1x + 4x2 Combine like terms: -4x2 + 4x2 = 0 k + 0 + x4 = -1x + 4x2 k + x4 = -1x + 4x2 Add '-1x4' to each side of the equation. k + x4 + -1x4 = -1x + 4x2 + -1x4 Combine like terms: x4 + -1x4 = 0 k + 0 = -1x + 4x2 + -1x4 k = -1x + 4x2 + -1x4 Simplifying k = -1x + 4x2 + -1x4
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