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Simplifying (x + -1k)(x + 2k) = x2 + -3x + -18 Reorder the terms: (-1k + x)(x + 2k) = x2 + -3x + -18 Reorder the terms: (-1k + x)(2k + x) = x2 + -3x + -18 Multiply (-1k + x) * (2k + x) (-1k * (2k + x) + x(2k + x)) = x2 + -3x + -18 ((2k * -1k + x * -1k) + x(2k + x)) = x2 + -3x + -18 Reorder the terms: ((-1kx + -2k2) + x(2k + x)) = x2 + -3x + -18 ((-1kx + -2k2) + x(2k + x)) = x2 + -3x + -18 (-1kx + -2k2 + (2k * x + x * x)) = x2 + -3x + -18 (-1kx + -2k2 + (2kx + x2)) = x2 + -3x + -18 Reorder the terms: (-1kx + 2kx + -2k2 + x2) = x2 + -3x + -18 Combine like terms: -1kx + 2kx = 1kx (1kx + -2k2 + x2) = x2 + -3x + -18 Reorder the terms: 1kx + -2k2 + x2 = -18 + -3x + x2 Add '-1x2' to each side of the equation. 1kx + -2k2 + x2 + -1x2 = -18 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1kx + -2k2 + 0 = -18 + -3x + x2 + -1x2 1kx + -2k2 = -18 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1kx + -2k2 = -18 + -3x + 0 1kx + -2k2 = -18 + -3x Solving 1kx + -2k2 = -18 + -3x Solving for variable 'k'. Reorder the terms: 18 + 1kx + -2k2 + 3x = -18 + -3x + 18 + 3x Reorder the terms: 18 + 1kx + -2k2 + 3x = -18 + 18 + -3x + 3x Combine like terms: -18 + 18 = 0 18 + 1kx + -2k2 + 3x = 0 + -3x + 3x 18 + 1kx + -2k2 + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 18 + 1kx + -2k2 + 3x = 0 The solution to this equation could not be determined.
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