2x2-3x-2=x+4 select all the solutions

Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4

Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0

The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0

Divide both sides by 2: (x - 3) (x + 1) = 0

Split into two equations:x - 3 = 0 or x + 1 = 0

Add 3 to both sides:x = 3 or x + 1 = 0

Subtract 1 from both sides:Answer: x = 3 or x = - 1