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Simplifying kx2 + 6(k + 1) * x + 8(k + 1) = 0 Reorder the terms: kx2 + 6(1 + k) * x + 8(k + 1) = 0 Reorder the terms for easier multiplication: kx2 + 6x(1 + k) + 8(k + 1) = 0 kx2 + (1 * 6x + k * 6x) + 8(k + 1) = 0 Reorder the terms: kx2 + (6kx + 6x) + 8(k + 1) = 0 kx2 + (6kx + 6x) + 8(k + 1) = 0 Reorder the terms: kx2 + 6kx + 6x + 8(1 + k) = 0 kx2 + 6kx + 6x + (1 * 8 + k * 8) = 0 kx2 + 6kx + 6x + (8 + 8k) = 0 Reorder the terms: 8 + 8k + 6kx + kx2 + 6x = 0 Solving 8 + 8k + 6kx + kx2 + 6x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8k + 6kx + kx2 + -8 + 6x = 0 + -8 Reorder the terms: 8 + -8 + 8k + 6kx + kx2 + 6x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8k + 6kx + kx2 + 6x = 0 + -8 8k + 6kx + kx2 + 6x = 0 + -8 Combine like terms: 0 + -8 = -8 8k + 6kx + kx2 + 6x = -8 Add '-6x' to each side of the equation. 8k + 6kx + kx2 + 6x + -6x = -8 + -6x Combine like terms: 6x + -6x = 0 8k + 6kx + kx2 + 0 = -8 + -6x 8k + 6kx + kx2 = -8 + -6x Reorder the terms: 8 + 8k + 6kx + kx2 + 6x = -8 + -6x + 8 + 6x Reorder the terms: 8 + 8k + 6kx + kx2 + 6x = -8 + 8 + -6x + 6x Combine like terms: -8 + 8 = 0 8 + 8k + 6kx + kx2 + 6x = 0 + -6x + 6x 8 + 8k + 6kx + kx2 + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 8 + 8k + 6kx + kx2 + 6x = 0 The solution to this equation could not be determined.
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