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Simplifying (k + 3) * x2 + 2kx + 4 = 0 Reorder the terms: (3 + k) * x2 + 2kx + 4 = 0 Reorder the terms for easier multiplication: x2(3 + k) + 2kx + 4 = 0 (3 * x2 + k * x2) + 2kx + 4 = 0 Reorder the terms: (kx2 + 3x2) + 2kx + 4 = 0 (kx2 + 3x2) + 2kx + 4 = 0 Reorder the terms: 4 + 2kx + kx2 + 3x2 = 0 Solving 4 + 2kx + kx2 + 3x2 = 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 + 2kx + kx2 + -4 + 3x2 = 0 + -4 Reorder the terms: 4 + -4 + 2kx + kx2 + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2kx + kx2 + 3x2 = 0 + -4 2kx + kx2 + 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 2kx + kx2 + 3x2 = -4 Add '-3x2' to each side of the equation. 2kx + kx2 + 3x2 + -3x2 = -4 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2kx + kx2 + 0 = -4 + -3x2 2kx + kx2 = -4 + -3x2 Reorder the terms: 4 + 2kx + kx2 + 3x2 = -4 + -3x2 + 4 + 3x2 Reorder the terms: 4 + 2kx + kx2 + 3x2 = -4 + 4 + -3x2 + 3x2 Combine like terms: -4 + 4 = 0 4 + 2kx + kx2 + 3x2 = 0 + -3x2 + 3x2 4 + 2kx + kx2 + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 4 + 2kx + kx2 + 3x2 = 0 The solution to this equation could not be determined.
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