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Simplifying x2 + (2 + k) * x + 3k = 0 Reorder the terms for easier multiplication: x2 + x(2 + k) + 3k = 0 x2 + (2 * x + k * x) + 3k = 0 Reorder the terms: x2 + (kx + 2x) + 3k = 0 x2 + (kx + 2x) + 3k = 0 Reorder the terms: 3k + kx + 2x + x2 = 0 Solving 3k + kx + 2x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2x' to each side of the equation. 3k + kx + 2x + -2x + x2 = 0 + -2x Combine like terms: 2x + -2x = 0 3k + kx + 0 + x2 = 0 + -2x 3k + kx + x2 = 0 + -2x Remove the zero: 3k + kx + x2 = -2x Add '-1x2' to each side of the equation. 3k + kx + x2 + -1x2 = -2x + -1x2 Combine like terms: x2 + -1x2 = 0 3k + kx + 0 = -2x + -1x2 3k + kx = -2x + -1x2 Reorder the terms: 3k + kx + 2x + x2 = -2x + 2x + -1x2 + x2 Combine like terms: -2x + 2x = 0 3k + kx + 2x + x2 = 0 + -1x2 + x2 3k + kx + 2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3k + kx + 2x + x2 = 0 The solution to this equation could not be determined.
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