Answer:
Assuming that the question is (x + 6)(x + 2) = 60
Among the given options, the only solution is x = 4
(The other solution is x = -12 but that is not included in the given options I think)
Explanation:
I assume the question is,
(x+6)(x+2) = 60
Then, inserting x = 4 gives,
(4 + 6)(4 + 2) = 60
(10)(6) = 60
60 = 60
hence x = 4 is a solution.
Finding the other solution,
(x+6)(x+2) = 60,
x^2 + 2x + 6x + 12 = 60
x^2 + 8x + 12 - 60 = 0
x^2 + 8x - 48 = 0
x^2 +12x - 4x - 48 = 0
x(x + 12) - 4(x + 12) = 0
(x - 4)(x + 12) = 0
So, the solutions are,
x = 4, and x = -12