First, we need to simplify the equation by combining like terms:

X^2 - 5X = 150

To solve for X, we need to set the equation equal to zero:

X^2 - 5X - 150 = 0

Next, we can factor the quadratic equation:

(X - 15)(X + 10) = 0

Now we set each factor equal to zero:

X - 15 = 0 or X + 10 = 0

Therefore, X = 15 or X = -10

So the solutions to the equation are X = 15 or X = -10.