x^2+15x=2700

Solution for x^2+15x=2700 equation:

x^2+15x=2700

We move all terms to the left:

x^2+15x-(2700)=0

a = 1; b = 15; c = -2700;
Δ = b2-4ac
Δ = 152-4·1·(-2700)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-105}{2*1}=\frac{-120}{2}
=-60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+105}{2*1}=\frac{90}{2}
=45
$