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Simplifying x4 + -5x2 + -1kx2 + 4k + 4 = 0 Reorder the terms: 4 + 4k + -1kx2 + -5x2 + x4 = 0 Solving 4 + 4k + -1kx2 + -5x2 + x4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4k + -1kx2 + -5x2 + -4 + x4 = 0 + -4 Reorder the terms: 4 + -4 + 4k + -1kx2 + -5x2 + x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4k + -1kx2 + -5x2 + x4 = 0 + -4 4k + -1kx2 + -5x2 + x4 = 0 + -4 Combine like terms: 0 + -4 = -4 4k + -1kx2 + -5x2 + x4 = -4 Add '5x2' to each side of the equation. 4k + -1kx2 + -5x2 + 5x2 + x4 = -4 + 5x2 Combine like terms: -5x2 + 5x2 = 0 4k + -1kx2 + 0 + x4 = -4 + 5x2 4k + -1kx2 + x4 = -4 + 5x2 Add '-1x4' to each side of the equation. 4k + -1kx2 + x4 + -1x4 = -4 + 5x2 + -1x4 Combine like terms: x4 + -1x4 = 0 4k + -1kx2 + 0 = -4 + 5x2 + -1x4 4k + -1kx2 = -4 + 5x2 + -1x4 Reorder the terms: 4 + 4k + -1kx2 + -5x2 + x4 = -4 + 5x2 + -1x4 + 4 + -5x2 + x4 Reorder the terms: 4 + 4k + -1kx2 + -5x2 + x4 = -4 + 4 + 5x2 + -5x2 + -1x4 + x4 Combine like terms: -4 + 4 = 0 4 + 4k + -1kx2 + -5x2 + x4 = 0 + 5x2 + -5x2 + -1x4 + x4 4 + 4k + -1kx2 + -5x2 + x4 = 5x2 + -5x2 + -1x4 + x4 Combine like terms: 5x2 + -5x2 = 0 4 + 4k + -1kx2 + -5x2 + x4 = 0 + -1x4 + x4 4 + 4k + -1kx2 + -5x2 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 4 + 4k + -1kx2 + -5x2 + x4 = 0 The solution to this equation could not be determined.
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