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