5000=x^2+30x

Solution for 5000=x^2+30x equation:

5000=x^2+30x

We move all terms to the left:

5000-(x^2+30x)=0

We get rid of parentheses

-x^2-30x+5000=0

We add all the numbers together, and all the variables

-1x^2-30x+5000=0

a = -1; b = -30; c = +5000;
Δ = b2-4ac
Δ = -302-4·(-1)·5000
Δ = 20900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{20900}=\sqrt{100*209}=\sqrt{100}*\sqrt{209}=10\sqrt{209}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-10\sqrt{209}}{2*-1}=\frac{30-10\sqrt{209}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+10\sqrt{209}}{2*-1}=\frac{30+10\sqrt{209}}{-2}
$