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Simplifying X2 + 3kx + -4k + 2 = 0 Reorder the terms: 2 + X2 + -4k + 3kx = 0 Solving 2 + X2 + -4k + 3kx = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + X2 + -4k + -2 + 3kx = 0 + -2 Reorder the terms: 2 + -2 + X2 + -4k + 3kx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X2 + -4k + 3kx = 0 + -2 X2 + -4k + 3kx = 0 + -2 Combine like terms: 0 + -2 = -2 X2 + -4k + 3kx = -2 Add '4k' to each side of the equation. X2 + -4k + 4k + 3kx = -2 + 4k Combine like terms: -4k + 4k = 0 X2 + 0 + 3kx = -2 + 4k X2 + 3kx = -2 + 4k Add '-3kx' to each side of the equation. X2 + 3kx + -3kx = -2 + 4k + -3kx Combine like terms: 3kx + -3kx = 0 X2 + 0 = -2 + 4k + -3kx X2 = -2 + 4k + -3kx Simplifying X2 = -2 + 4k + -3kx Reorder the terms: 2 + X2 + -4k + 3kx = -2 + 4k + -3kx + 2 + -4k + 3kx Reorder the terms: 2 + X2 + -4k + 3kx = -2 + 2 + 4k + -4k + -3kx + 3kx Combine like terms: -2 + 2 = 0 2 + X2 + -4k + 3kx = 0 + 4k + -4k + -3kx + 3kx 2 + X2 + -4k + 3kx = 4k + -4k + -3kx + 3kx Combine like terms: 4k + -4k = 0 2 + X2 + -4k + 3kx = 0 + -3kx + 3kx 2 + X2 + -4k + 3kx = -3kx + 3kx Combine like terms: -3kx + 3kx = 0 2 + X2 + -4k + 3kx = 0 The solution to this equation could not be determined.
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