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