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Simplifying (k + 6) * x2 + 8kx + 15 + k = 0 Reorder the terms: (6 + k) * x2 + 8kx + 15 + k = 0 Reorder the terms for easier multiplication: x2(6 + k) + 8kx + 15 + k = 0 (6 * x2 + k * x2) + 8kx + 15 + k = 0 Reorder the terms: (kx2 + 6x2) + 8kx + 15 + k = 0 (kx2 + 6x2) + 8kx + 15 + k = 0 Reorder the terms: 15 + k + 8kx + kx2 + 6x2 = 0 Solving 15 + k + 8kx + kx2 + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + k + 8kx + kx2 + -15 + 6x2 = 0 + -15 Reorder the terms: 15 + -15 + k + 8kx + kx2 + 6x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + k + 8kx + kx2 + 6x2 = 0 + -15 k + 8kx + kx2 + 6x2 = 0 + -15 Combine like terms: 0 + -15 = -15 k + 8kx + kx2 + 6x2 = -15 Add '-6x2' to each side of the equation. k + 8kx + kx2 + 6x2 + -6x2 = -15 + -6x2 Combine like terms: 6x2 + -6x2 = 0 k + 8kx + kx2 + 0 = -15 + -6x2 k + 8kx + kx2 = -15 + -6x2 Reorder the terms: 15 + k + 8kx + kx2 + 6x2 = -15 + -6x2 + 15 + 6x2 Reorder the terms: 15 + k + 8kx + kx2 + 6x2 = -15 + 15 + -6x2 + 6x2 Combine like terms: -15 + 15 = 0 15 + k + 8kx + kx2 + 6x2 = 0 + -6x2 + 6x2 15 + k + 8kx + kx2 + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15 + k + 8kx + kx2 + 6x2 = 0 The solution to this equation could not be determined.
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