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Simplifying x2 + (2k + 5) * x + k = 0 Reorder the terms: x2 + (5 + 2k) * x + k = 0 Reorder the terms for easier multiplication: x2 + x(5 + 2k) + k = 0 x2 + (5 * x + 2k * x) + k = 0 Reorder the terms: x2 + (2kx + 5x) + k = 0 x2 + (2kx + 5x) + k = 0 Reorder the terms: k + 2kx + 5x + x2 = 0 Solving k + 2kx + 5x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. k + 2kx + 5x + -5x + x2 = 0 + -5x Combine like terms: 5x + -5x = 0 k + 2kx + 0 + x2 = 0 + -5x k + 2kx + x2 = 0 + -5x Remove the zero: k + 2kx + x2 = -5x Add '-1x2' to each side of the equation. k + 2kx + x2 + -1x2 = -5x + -1x2 Combine like terms: x2 + -1x2 = 0 k + 2kx + 0 = -5x + -1x2 k + 2kx = -5x + -1x2 Reorder the terms: k + 2kx + 5x + x2 = -5x + 5x + -1x2 + x2 Combine like terms: -5x + 5x = 0 k + 2kx + 5x + x2 = 0 + -1x2 + x2 k + 2kx + 5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 k + 2kx + 5x + x2 = 0 The solution to this equation could not be determined.
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