Expanding the terms within parentheses, we get:
(х + 2)(19 - х) - х(18 - х) = 30
Now, multiply the terms within each set of parentheses:
(х19 - х^2 + 219 - 2х) - (18х - х^2) = 30
Simplify by combining like terms:
19х - х^2 + 38 - 2х - 18х + х^2 = 30
-x^2 - х= 30
Rearranging the equation:
x^2 + x - 30 = 0
Now, we need to solve this quadratic equation. The solutions are:
x = -6 or x = 5
Therefore, the solutions to the original equation are x = -6 and x = 5.
Expanding the terms within parentheses, we get:
(х + 2)(19 - х) - х(18 - х) = 30
Now, multiply the terms within each set of parentheses:
(х19 - х^2 + 219 - 2х) - (18х - х^2) = 30
Simplify by combining like terms:
19х - х^2 + 38 - 2х - 18х + х^2 = 30
-x^2 - х= 30
Rearranging the equation:
x^2 + x - 30 = 0
Now, we need to solve this quadratic equation. The solutions are:
x = -6 or x = 5
Therefore, the solutions to the original equation are x = -6 and x = 5.