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Simplifying x3 + -3x2 + 2kx + -3 = 0 Reorder the terms: -3 + 2kx + -3x2 + x3 = 0 Solving -3 + 2kx + -3x2 + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2kx + -3x2 + 3 + x3 = 0 + 3 Reorder the terms: -3 + 3 + 2kx + -3x2 + x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2kx + -3x2 + x3 = 0 + 3 2kx + -3x2 + x3 = 0 + 3 Combine like terms: 0 + 3 = 3 2kx + -3x2 + x3 = 3 Add '3x2' to each side of the equation. 2kx + -3x2 + 3x2 + x3 = 3 + 3x2 Combine like terms: -3x2 + 3x2 = 0 2kx + 0 + x3 = 3 + 3x2 2kx + x3 = 3 + 3x2 Add '-1x3' to each side of the equation. 2kx + x3 + -1x3 = 3 + 3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 2kx + 0 = 3 + 3x2 + -1x3 2kx = 3 + 3x2 + -1x3 Divide each side by '2x'. k = 1.5x-1 + 1.5x + -0.5x2 Simplifying k = 1.5x-1 + 1.5x + -0.5x2
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