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