The answer is :
x^2 + 5x - 5 = 0
add five to both sides
x^2 + 5x = 5
Complete the square
x^2 + 5x + (5/2)^2 = 5 + (5/2)^2
(x + 5/2)^2 = 5 + 25/4
Take the square root of both sides
x + 5/2 = sqrt(5 + 25/4)
x = sqrt(5 + 25/4) - 5/2
x = sqrt(20/4 + 25/4) - 5/2
x = sqrt(45/4) - 5/2
x = 0.854101966