Expanding the left side of the equation, we get:
x^2 + 24x + 144 = 1
Subtracting 1 from both sides, we get:
x^2 + 24x + 143 = 0
Now we can solve for x using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 24, and c = 143.
Plugging in these values, we get:
x = (-24 ± sqrt(24^2 - 4(1)(143))) / 2(1)
x = (-24 ± sqrt(576 - 572)) / 2
x = (-24 ± sqrt(4)) / 2
x = (-24 ± 2) / 2
x = -12 ± 1
So the solutions to the quadratic equation are:
x = -11 or x = -13.