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Simplifying (4k + -1) * x2 + 3kx + 1 = 0 Reorder the terms: (-1 + 4k) * x2 + 3kx + 1 = 0 Reorder the terms for easier multiplication: x2(-1 + 4k) + 3kx + 1 = 0 (-1 * x2 + 4k * x2) + 3kx + 1 = 0 Reorder the terms: (4kx2 + -1x2) + 3kx + 1 = 0 (4kx2 + -1x2) + 3kx + 1 = 0 Reorder the terms: 1 + 3kx + 4kx2 + -1x2 = 0 Solving 1 + 3kx + 4kx2 + -1x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3kx + 4kx2 + -1 + -1x2 = 0 + -1 Reorder the terms: 1 + -1 + 3kx + 4kx2 + -1x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3kx + 4kx2 + -1x2 = 0 + -1 3kx + 4kx2 + -1x2 = 0 + -1 Combine like terms: 0 + -1 = -1 3kx + 4kx2 + -1x2 = -1 Add 'x2' to each side of the equation. 3kx + 4kx2 + -1x2 + x2 = -1 + x2 Combine like terms: -1x2 + x2 = 0 3kx + 4kx2 + 0 = -1 + x2 3kx + 4kx2 = -1 + x2 Reorder the terms: 1 + 3kx + 4kx2 + -1x2 = -1 + x2 + 1 + -1x2 Reorder the terms: 1 + 3kx + 4kx2 + -1x2 = -1 + 1 + x2 + -1x2 Combine like terms: -1 + 1 = 0 1 + 3kx + 4kx2 + -1x2 = 0 + x2 + -1x2 1 + 3kx + 4kx2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 3kx + 4kx2 + -1x2 = 0 The solution to this equation could not be determined.
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