Solve for x: 6 x^2 + 5 x - 4 = 0 The left hand side factors into a product with two terms: (2 x - 1) (3 x + 4) = 0 Split into two equations: 2 x - 1 = 0 or 3 x + 4 = 0 Add 1 to both sides: 2 x = 1 or 3 x + 4 = 0 Divide both sides by 2: x = 1/2 or 3 x + 4 = 0 Subtract 4 from both sides: x = 1/2 or 3 x = -4 Divide both sides by 3: Answer: x = 1/2 or x = -4/3
