X^2+x-20=0 use factorization to solve for the unknown

To factorize,

We need to find two numbers whose product is -20 and whose sum is 1.
The numbers are 5 and -4, since 5*(-4) = -20 and 5 + (-4) = 1.
So, we can write:
X^2 + x - 20 = (x + 5)(x - 4)
Setting each factor to 0, we get:
x + 5 = 0 or x - 4 = 0
Solving for x, we get:
x = -5 or x = 4
Therefore, the solutions of the equation are x = -5 and x = 4.