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Simplifying x4 + 2x3 + -3x2 + kx + -4 = 0 Reorder the terms: -4 + kx + -3x2 + 2x3 + x4 = 0 Solving -4 + kx + -3x2 + 2x3 + 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 + kx + -3x2 + 2x3 + 4 + x4 = 0 + 4 Reorder the terms: -4 + 4 + kx + -3x2 + 2x3 + x4 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + kx + -3x2 + 2x3 + x4 = 0 + 4 kx + -3x2 + 2x3 + x4 = 0 + 4 Combine like terms: 0 + 4 = 4 kx + -3x2 + 2x3 + x4 = 4 Add '3x2' to each side of the equation. kx + -3x2 + 2x3 + 3x2 + x4 = 4 + 3x2 Reorder the terms: kx + -3x2 + 3x2 + 2x3 + x4 = 4 + 3x2 Combine like terms: -3x2 + 3x2 = 0 kx + 0 + 2x3 + x4 = 4 + 3x2 kx + 2x3 + x4 = 4 + 3x2 Add '-2x3' to each side of the equation. kx + 2x3 + -2x3 + x4 = 4 + 3x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 kx + 0 + x4 = 4 + 3x2 + -2x3 kx + x4 = 4 + 3x2 + -2x3 Add '-1x4' to each side of the equation. kx + x4 + -1x4 = 4 + 3x2 + -2x3 + -1x4 Combine like terms: x4 + -1x4 = 0 kx + 0 = 4 + 3x2 + -2x3 + -1x4 kx = 4 + 3x2 + -2x3 + -1x4 Divide each side by 'x'. k = 4x-1 + 3x + -2x2 + -1x3 Simplifying k = 4x-1 + 3x + -2x2 + -1x3
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