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