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Simplifying (3 + k) * x2 + 4x + k = 0 Reorder the terms for easier multiplication: x2(3 + k) + 4x + k = 0 (3 * x2 + k * x2) + 4x + k = 0 Reorder the terms: (kx2 + 3x2) + 4x + k = 0 (kx2 + 3x2) + 4x + k = 0 Reorder the terms: k + kx2 + 4x + 3x2 = 0 Solving k + kx2 + 4x + 3x2 = 0 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 + 3x2 = 0 + -4x Combine like terms: 4x + -4x = 0 k + kx2 + 0 + 3x2 = 0 + -4x k + kx2 + 3x2 = 0 + -4x Remove the zero: k + kx2 + 3x2 = -4x Add '-3x2' to each side of the equation. k + kx2 + 3x2 + -3x2 = -4x + -3x2 Combine like terms: 3x2 + -3x2 = 0 k + kx2 + 0 = -4x + -3x2 k + kx2 = -4x + -3x2 Reorder the terms: k + kx2 + 4x + 3x2 = -4x + 4x + -3x2 + 3x2 Combine like terms: -4x + 4x = 0 k + kx2 + 4x + 3x2 = 0 + -3x2 + 3x2 k + kx2 + 4x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 k + kx2 + 4x + 3x2 = 0 The solution to this equation could not be determined.
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