49=x^2+11x

Solution for 49=x^2+11x equation:

49=x^2+11x

We move all terms to the left:

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

We get rid of parentheses

-x^2-11x+49=0

We add all the numbers together, and all the variables

-1x^2-11x+49=0

a = -1; b = -11; c = +49;
Δ = b2-4ac
Δ = -112-4·(-1)·49
Δ = 317
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{317}}{2*-1}=\frac{11-\sqrt{317}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{317}}{2*-1}=\frac{11+\sqrt{317}}{-2}
$