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Simplifying X2 + kx + k + 3 = 0 Reorder the terms: 3 + X2 + k + kx = 0 Solving 3 + X2 + k + kx = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X2 + k + -3 + kx = 0 + -3 Reorder the terms: 3 + -3 + X2 + k + kx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X2 + k + kx = 0 + -3 X2 + k + kx = 0 + -3 Combine like terms: 0 + -3 = -3 X2 + k + kx = -3 Add '-1k' to each side of the equation. X2 + k + -1k + kx = -3 + -1k Combine like terms: k + -1k = 0 X2 + 0 + kx = -3 + -1k X2 + kx = -3 + -1k Add '-1kx' to each side of the equation. X2 + kx + -1kx = -3 + -1k + -1kx Combine like terms: kx + -1kx = 0 X2 + 0 = -3 + -1k + -1kx X2 = -3 + -1k + -1kx Simplifying X2 = -3 + -1k + -1kx Reorder the terms: 3 + X2 + k + kx = -3 + -1k + -1kx + 3 + k + kx Reorder the terms: 3 + X2 + k + kx = -3 + 3 + -1k + k + -1kx + kx Combine like terms: -3 + 3 = 0 3 + X2 + k + kx = 0 + -1k + k + -1kx + kx 3 + X2 + k + kx = -1k + k + -1kx + kx Combine like terms: -1k + k = 0 3 + X2 + k + kx = 0 + -1kx + kx 3 + X2 + k + kx = -1kx + kx Combine like terms: -1kx + kx = 0 3 + X2 + k + kx = 0 The solution to this equation could not be determined.
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