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Simplifying (k + 2) * x2 + 4x + k = -5 Reorder the terms: (2 + k) * x2 + 4x + k = -5 Reorder the terms for easier multiplication: x2(2 + k) + 4x + k = -5 (2 * x2 + k * x2) + 4x + k = -5 Reorder the terms: (kx2 + 2x2) + 4x + k = -5 (kx2 + 2x2) + 4x + k = -5 Reorder the terms: k + kx2 + 4x + 2x2 = -5 Solving k + kx2 + 4x + 2x2 = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4x' to each side of the equation. k + kx2 + 4x + -4x + 2x2 = -5 + -4x Combine like terms: 4x + -4x = 0 k + kx2 + 0 + 2x2 = -5 + -4x k + kx2 + 2x2 = -5 + -4x Add '-2x2' to each side of the equation. k + kx2 + 2x2 + -2x2 = -5 + -4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 k + kx2 + 0 = -5 + -4x + -2x2 k + kx2 = -5 + -4x + -2x2 Reorder the terms: 5 + k + kx2 + 4x + 2x2 = -5 + -4x + -2x2 + 5 + 4x + 2x2 Reorder the terms: 5 + k + kx2 + 4x + 2x2 = -5 + 5 + -4x + 4x + -2x2 + 2x2 Combine like terms: -5 + 5 = 0 5 + k + kx2 + 4x + 2x2 = 0 + -4x + 4x + -2x2 + 2x2 5 + k + kx2 + 4x + 2x2 = -4x + 4x + -2x2 + 2x2 Combine like terms: -4x + 4x = 0 5 + k + kx2 + 4x + 2x2 = 0 + -2x2 + 2x2 5 + k + kx2 + 4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 5 + k + kx2 + 4x + 2x2 = 0 The solution to this equation could not be determined.
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