1) (x-2)(3x-1) = 2x(x-4) + 23x^2 - x - 6 = 2x^2 - 8x + 2x^2 + 7x - 8 = 0(x + 8)(x - 1) = 0x = -8 or x = 1
2) (3x-1)(x-2) = x - 2x(x-4)3x^2 - 7x + 2 = x - 2x^2 + 8x3x^2 - 7x + 2 = -x^2 + 6x4x^2 - 13x + 2 = 0x ≈ 0.193 or x ≈ 3.307
3) (2x - 1)/2 + 4x = 102x - 1 + 8x = 2010x = 21x = 2.1
4) (3x - 1)(3x + 1) = 269x^2 - 1 = 269x^2 = 27x ≈ 1.732 or x ≈ -1.732
1) (x-2)(3x-1) = 2x(x-4) + 2
3x^2 - x - 6 = 2x^2 - 8x + 2
x^2 + 7x - 8 = 0
(x + 8)(x - 1) = 0
x = -8 or x = 1
2) (3x-1)(x-2) = x - 2x(x-4)
3x^2 - 7x + 2 = x - 2x^2 + 8x
3x^2 - 7x + 2 = -x^2 + 6x
4x^2 - 13x + 2 = 0
x ≈ 0.193 or x ≈ 3.307
3) (2x - 1)/2 + 4x = 10
2x - 1 + 8x = 20
10x = 21
x = 2.1
4) (3x - 1)(3x + 1) = 26
9x^2 - 1 = 26
9x^2 = 27
x ≈ 1.732 or x ≈ -1.732