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Simplifying x2(k + 1) * x + k + 4 = 0 Reorder the terms: x2(1 + k) * x + k + 4 = 0 Reorder the terms for easier multiplication: x2 * x(1 + k) + k + 4 = 0 Multiply x2 * x x3(1 + k) + k + 4 = 0 (1 * x3 + k * x3) + k + 4 = 0 Reorder the terms: (kx3 + 1x3) + k + 4 = 0 (kx3 + 1x3) + k + 4 = 0 Reorder the terms: 4 + k + kx3 + 1x3 = 0 Solving 4 + k + kx3 + 1x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + k + kx3 + -4 + 1x3 = 0 + -4 Reorder the terms: 4 + -4 + k + kx3 + 1x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k + kx3 + 1x3 = 0 + -4 k + kx3 + 1x3 = 0 + -4 Combine like terms: 0 + -4 = -4 k + kx3 + 1x3 = -4 Add '-1x3' to each side of the equation. k + kx3 + 1x3 + -1x3 = -4 + -1x3 Combine like terms: 1x3 + -1x3 = 0 k + kx3 + 0 = -4 + -1x3 k + kx3 = -4 + -1x3 Reorder the terms: 4 + k + kx3 + x3 = -4 + -1x3 + 4 + x3 Reorder the terms: 4 + k + kx3 + x3 = -4 + 4 + -1x3 + x3 Combine like terms: -4 + 4 = 0 4 + k + kx3 + x3 = 0 + -1x3 + x3 4 + k + kx3 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 4 + k + kx3 + x3 = 0 The solution to this equation could not be determined.
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