0=5x^2+11x

Solution for 0=5x^2+11x equation:

0=5x^2+11x

We move all terms to the left:

0-(5x^2+11x)=0

We add all the numbers together, and all the variables

-(5x^2+11x)=0

We get rid of parentheses

-5x^2-11x=0

a = -5; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·(-5)·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*-5}=\frac{0}{-10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*-5}=\frac{22}{-10}
=-2+1/5
$