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