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Simplifying x3 + kx2 + -6x + 8 = 0 Reorder the terms: 8 + kx2 + -6x + x3 = 0 Solving 8 + kx2 + -6x + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + kx2 + -6x + -8 + x3 = 0 + -8 Reorder the terms: 8 + -8 + kx2 + -6x + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + kx2 + -6x + x3 = 0 + -8 kx2 + -6x + x3 = 0 + -8 Combine like terms: 0 + -8 = -8 kx2 + -6x + x3 = -8 Add '6x' to each side of the equation. kx2 + -6x + 6x + x3 = -8 + 6x Combine like terms: -6x + 6x = 0 kx2 + 0 + x3 = -8 + 6x kx2 + x3 = -8 + 6x Add '-1x3' to each side of the equation. kx2 + x3 + -1x3 = -8 + 6x + -1x3 Combine like terms: x3 + -1x3 = 0 kx2 + 0 = -8 + 6x + -1x3 kx2 = -8 + 6x + -1x3 Divide each side by 'x2'. k = -8x-2 + 6x-1 + -1x Simplifying k = -8x-2 + 6x-1 + -1x
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