x*x+30x=10800

Solution for x*x+30x=10800 equation:

x*x+30x=10800

We move all terms to the left:

x*x+30x-(10800)=0

We add all the numbers together, and all the variables

30x+x*x-10800=0

Wy multiply elements

x^2+30x-10800=0

a = 1; b = 30; c = -10800;
Δ = b2-4ac
Δ = 302-4·1·(-10800)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-210}{2*1}=\frac{-240}{2}
=-120
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+210}{2*1}=\frac{180}{2}
=90
$