## Precalculus: Mathematics for Calculus, 7th Edition

1. To find all real solutions of the function we must first factor it. 2. To factor this function, first subtract 1 from both sides of the function in order to bring the 1 to the left side of the function, making it -1. 3. Our function should now look like $2x^{2}$ + x - 1. 4. Now we can factor the function into (x + 1)(2x - 1). 5. Set both factored terms equal to 0 to find the real solution. 6. x + 1 = 0 : x = -1 7. 2x - 1 = 0 : 2x = 1 : x = 1/2 8. Thats is how you get the x solutions of -1 and 1/2.