Using factorization, find the roots of the quadratic equation: = 3,(x ≠ 1,  – 2).

Multiplying throughout by (x – 1)(x + 2), we get
(x + 1)(x + 2) + (x – 1)(x – 2) = 3(x – 1)(x + 2)
(x ² + 3x + 2) + (x ² – 3x + 2) = 3(x ² + x – 2)
2x ² + 4 = 3x ² + 3x – 6
x ² + 3x – 10 = 0
x ² + 5x – 2x – 10 = 0
x(x + 5) – 2(x + 5) = 0
(x + 5)(x – 2) = 0
x = – 5 or x = 2.