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