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
