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Simplifying x4 + -4x3 + -1kx2 + 6kx + 9 = 0 Reorder the terms: 9 + 6kx + -1kx2 + -4x3 + x4 = 0 Solving 9 + 6kx + -1kx2 + -4x3 + x4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6kx + -1kx2 + -4x3 + -9 + x4 = 0 + -9 Reorder the terms: 9 + -9 + 6kx + -1kx2 + -4x3 + x4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6kx + -1kx2 + -4x3 + x4 = 0 + -9 6kx + -1kx2 + -4x3 + x4 = 0 + -9 Combine like terms: 0 + -9 = -9 6kx + -1kx2 + -4x3 + x4 = -9 Add '4x3' to each side of the equation. 6kx + -1kx2 + -4x3 + 4x3 + x4 = -9 + 4x3 Combine like terms: -4x3 + 4x3 = 0 6kx + -1kx2 + 0 + x4 = -9 + 4x3 6kx + -1kx2 + x4 = -9 + 4x3 Add '-1x4' to each side of the equation. 6kx + -1kx2 + x4 + -1x4 = -9 + 4x3 + -1x4 Combine like terms: x4 + -1x4 = 0 6kx + -1kx2 + 0 = -9 + 4x3 + -1x4 6kx + -1kx2 = -9 + 4x3 + -1x4 Reorder the terms: 9 + 6kx + -1kx2 + -4x3 + x4 = -9 + 4x3 + -1x4 + 9 + -4x3 + x4 Reorder the terms: 9 + 6kx + -1kx2 + -4x3 + x4 = -9 + 9 + 4x3 + -4x3 + -1x4 + x4 Combine like terms: -9 + 9 = 0 9 + 6kx + -1kx2 + -4x3 + x4 = 0 + 4x3 + -4x3 + -1x4 + x4 9 + 6kx + -1kx2 + -4x3 + x4 = 4x3 + -4x3 + -1x4 + x4 Combine like terms: 4x3 + -4x3 = 0 9 + 6kx + -1kx2 + -4x3 + x4 = 0 + -1x4 + x4 9 + 6kx + -1kx2 + -4x3 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 9 + 6kx + -1kx2 + -4x3 + x4 = 0 The solution to this equation could not be determined.
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