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Simplifying x3 + -3x2 + kx + -12 = 0 Reorder the terms: -12 + kx + -3x2 + x3 = 0 Solving -12 + kx + -3x2 + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + kx + -3x2 + 12 + x3 = 0 + 12 Reorder the terms: -12 + 12 + kx + -3x2 + x3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + kx + -3x2 + x3 = 0 + 12 kx + -3x2 + x3 = 0 + 12 Combine like terms: 0 + 12 = 12 kx + -3x2 + x3 = 12 Add '3x2' to each side of the equation. kx + -3x2 + 3x2 + x3 = 12 + 3x2 Combine like terms: -3x2 + 3x2 = 0 kx + 0 + x3 = 12 + 3x2 kx + x3 = 12 + 3x2 Add '-1x3' to each side of the equation. kx + x3 + -1x3 = 12 + 3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 kx + 0 = 12 + 3x2 + -1x3 kx = 12 + 3x2 + -1x3 Divide each side by 'x'. k = 12x-1 + 3x + -1x2 Simplifying k = 12x-1 + 3x + -1x2
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