Answer: {7,-5}
Step-by-step explanation: To solve the equation x² - 2x - 45 = 0, factor the left side of the equation to get (x - 7)(x + 5).
To factor x² - 2x - 35, look for factors of -35 that that add to -2.
These factors are -7 and 5.
So now we have (x - 7)(x + 5) = 0.
So either x - 7 = 0 or x + 5 = 0.
Solving for x in each equation, our answer is {7,-5}.