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