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