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