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Simplifying kx2 + (3k + -2) * x + 2 = 0 Reorder the terms: kx2 + (-2 + 3k) * x + 2 = 0 Reorder the terms for easier multiplication: kx2 + x(-2 + 3k) + 2 = 0 kx2 + (-2 * x + 3k * x) + 2 = 0 Reorder the terms: kx2 + (3kx + -2x) + 2 = 0 kx2 + (3kx + -2x) + 2 = 0 Reorder the terms: 2 + 3kx + kx2 + -2x = 0 Solving 2 + 3kx + kx2 + -2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3kx + kx2 + -2 + -2x = 0 + -2 Reorder the terms: 2 + -2 + 3kx + kx2 + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3kx + kx2 + -2x = 0 + -2 3kx + kx2 + -2x = 0 + -2 Combine like terms: 0 + -2 = -2 3kx + kx2 + -2x = -2 Add '2x' to each side of the equation. 3kx + kx2 + -2x + 2x = -2 + 2x Combine like terms: -2x + 2x = 0 3kx + kx2 + 0 = -2 + 2x 3kx + kx2 = -2 + 2x Reorder the terms: 2 + 3kx + kx2 + -2x = -2 + 2x + 2 + -2x Reorder the terms: 2 + 3kx + kx2 + -2x = -2 + 2 + 2x + -2x Combine like terms: -2 + 2 = 0 2 + 3kx + kx2 + -2x = 0 + 2x + -2x 2 + 3kx + kx2 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 2 + 3kx + kx2 + -2x = 0 The solution to this equation could not be determined.
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