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Simplifying (K + -1) * x2 + 4k + -1 = (3 + 4k) * x Reorder the terms: (-1 + K) * x2 + 4k + -1 = (3 + 4k) * x Reorder the terms for easier multiplication: x2(-1 + K) + 4k + -1 = (3 + 4k) * x (-1 * x2 + K * x2) + 4k + -1 = (3 + 4k) * x (-1x2 + x2K) + 4k + -1 = (3 + 4k) * x Reorder the terms: -1 + 4k + -1x2 + x2K = (3 + 4k) * x Reorder the terms for easier multiplication: -1 + 4k + -1x2 + x2K = x(3 + 4k) -1 + 4k + -1x2 + x2K = (3 * x + 4k * x) Reorder the terms: -1 + 4k + -1x2 + x2K = (4kx + 3x) -1 + 4k + -1x2 + x2K = (4kx + 3x) Solving -1 + 4k + -1x2 + x2K = 4kx + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4kx' to each side of the equation. -1 + 4k + -1x2 + -4kx + x2K = 4kx + -4kx + 3x Reorder the terms: -1 + 4k + -4kx + -1x2 + x2K = 4kx + -4kx + 3x Combine like terms: 4kx + -4kx = 0 -1 + 4k + -4kx + -1x2 + x2K = 0 + 3x -1 + 4k + -4kx + -1x2 + x2K = 3x Add '1' to each side of the equation. -1 + 4k + -4kx + -1x2 + 1 + x2K = 1 + 3x Reorder the terms: -1 + 1 + 4k + -4kx + -1x2 + x2K = 1 + 3x Combine like terms: -1 + 1 = 0 0 + 4k + -4kx + -1x2 + x2K = 1 + 3x 4k + -4kx + -1x2 + x2K = 1 + 3x Add 'x2' to each side of the equation. 4k + -4kx + -1x2 + x2 + x2K = 1 + 3x + x2 Combine like terms: -1x2 + x2 = 0 4k + -4kx + 0 + x2K = 1 + 3x + x2 4k + -4kx + x2K = 1 + 3x + x2 Add '-1x2K' to each side of the equation. 4k + -4kx + x2K + -1x2K = 1 + 3x + x2 + -1x2K Combine like terms: x2K + -1x2K = 0 4k + -4kx + 0 = 1 + 3x + x2 + -1x2K 4k + -4kx = 1 + 3x + x2 + -1x2K Reorder the terms: -1 + 4k + -4kx + -3x + -1x2 + x2K = 1 + 3x + x2 + -1x2K + -1 + -3x + -1x2 + x2K Reorder the terms: -1 + 4k + -4kx + -3x + -1x2 + x2K = 1 + -1 + 3x + -3x + x2 + -1x2 + -1x2K + x2K Combine like terms: 1 + -1 = 0 -1 + 4k + -4kx + -3x + -1x2 + x2K = 0 + 3x + -3x + x2 + -1x2 + -1x2K + x2K -1 + 4k + -4kx + -3x + -1x2 + x2K = 3x + -3x + x2 + -1x2 + -1x2K + x2K Combine like terms: 3x + -3x = 0 -1 + 4k + -4kx + -3x + -1x2 + x2K = 0 + x2 + -1x2 + -1x2K + x2K -1 + 4k + -4kx + -3x + -1x2 + x2K = x2 + -1x2 + -1x2K + x2K Combine like terms: x2 + -1x2 = 0 -1 + 4k + -4kx + -3x + -1x2 + x2K = 0 + -1x2K + x2K -1 + 4k + -4kx + -3x + -1x2 + x2K = -1x2K + x2K Combine like terms: -1x2K + x2K = 0 -1 + 4k + -4kx + -3x + -1x2 + x2K = 0 The solution to this equation could not be determined.
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