Answer:
x = 11 or x = -4
Explanation:
x² - 7x - 34 = 10
Subtract 10 from both sides.
x² - 7x - 44 = 10
Factor the trinominal. We need 2 numbers whose product is -44 and whose sum is -7. They are -11 and 4.
(x - 11)(x + 4) = 0
x - 11 = 0 or x + 4 = 9
x = 11 or x = -4