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Simplifying kx2 + (3 + -2k) * x + -6 = 0 Reorder the terms for easier multiplication: kx2 + x(3 + -2k) + -6 = 0 kx2 + (3 * x + -2k * x) + -6 = 0 Reorder the terms: kx2 + (-2kx + 3x) + -6 = 0 kx2 + (-2kx + 3x) + -6 = 0 Reorder the terms: -6 + -2kx + kx2 + 3x = 0 Solving -6 + -2kx + kx2 + 3x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2kx + kx2 + 6 + 3x = 0 + 6 Reorder the terms: -6 + 6 + -2kx + kx2 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2kx + kx2 + 3x = 0 + 6 -2kx + kx2 + 3x = 0 + 6 Combine like terms: 0 + 6 = 6 -2kx + kx2 + 3x = 6 Add '-3x' to each side of the equation. -2kx + kx2 + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 -2kx + kx2 + 0 = 6 + -3x -2kx + kx2 = 6 + -3x Reorder the terms: -6 + -2kx + kx2 + 3x = 6 + -3x + -6 + 3x Reorder the terms: -6 + -2kx + kx2 + 3x = 6 + -6 + -3x + 3x Combine like terms: 6 + -6 = 0 -6 + -2kx + kx2 + 3x = 0 + -3x + 3x -6 + -2kx + kx2 + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -2kx + kx2 + 3x = 0 The solution to this equation could not be determined.
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