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