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Simplifying (k + 1) * x2 + 4kx + 9 = 0 Reorder the terms: (1 + k) * x2 + 4kx + 9 = 0 Reorder the terms for easier multiplication: x2(1 + k) + 4kx + 9 = 0 (1 * x2 + k * x2) + 4kx + 9 = 0 Reorder the terms: (kx2 + 1x2) + 4kx + 9 = 0 (kx2 + 1x2) + 4kx + 9 = 0 Reorder the terms: 9 + 4kx + kx2 + 1x2 = 0 Solving 9 + 4kx + kx2 + 1x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4kx + kx2 + -9 + 1x2 = 0 + -9 Reorder the terms: 9 + -9 + 4kx + kx2 + 1x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4kx + kx2 + 1x2 = 0 + -9 4kx + kx2 + 1x2 = 0 + -9 Combine like terms: 0 + -9 = -9 4kx + kx2 + 1x2 = -9 Add '-1x2' to each side of the equation. 4kx + kx2 + 1x2 + -1x2 = -9 + -1x2 Combine like terms: 1x2 + -1x2 = 0 4kx + kx2 + 0 = -9 + -1x2 4kx + kx2 = -9 + -1x2 Reorder the terms: 9 + 4kx + kx2 + x2 = -9 + -1x2 + 9 + x2 Reorder the terms: 9 + 4kx + kx2 + x2 = -9 + 9 + -1x2 + x2 Combine like terms: -9 + 9 = 0 9 + 4kx + kx2 + x2 = 0 + -1x2 + x2 9 + 4kx + kx2 + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 9 + 4kx + kx2 + x2 = 0 The solution to this equation could not be determined.
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