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Simplifying (2k + 3) * x2 + -1kx + -1 = 0 Reorder the terms: (3 + 2k) * x2 + -1kx + -1 = 0 Reorder the terms for easier multiplication: x2(3 + 2k) + -1kx + -1 = 0 (3 * x2 + 2k * x2) + -1kx + -1 = 0 Reorder the terms: (2kx2 + 3x2) + -1kx + -1 = 0 (2kx2 + 3x2) + -1kx + -1 = 0 Reorder the terms: -1 + -1kx + 2kx2 + 3x2 = 0 Solving -1 + -1kx + 2kx2 + 3x2 = 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 + -1kx + 2kx2 + 1 + 3x2 = 0 + 1 Reorder the terms: -1 + 1 + -1kx + 2kx2 + 3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1kx + 2kx2 + 3x2 = 0 + 1 -1kx + 2kx2 + 3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1kx + 2kx2 + 3x2 = 1 Add '-3x2' to each side of the equation. -1kx + 2kx2 + 3x2 + -3x2 = 1 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1kx + 2kx2 + 0 = 1 + -3x2 -1kx + 2kx2 = 1 + -3x2 Reorder the terms: -1 + -1kx + 2kx2 + 3x2 = 1 + -3x2 + -1 + 3x2 Reorder the terms: -1 + -1kx + 2kx2 + 3x2 = 1 + -1 + -3x2 + 3x2 Combine like terms: 1 + -1 = 0 -1 + -1kx + 2kx2 + 3x2 = 0 + -3x2 + 3x2 -1 + -1kx + 2kx2 + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -1 + -1kx + 2kx2 + 3x2 = 0 The solution to this equation could not be determined.
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