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