3x2-30x-3600=0

Solution for 3x2-30x-3600=0 equation:

3x^2-30x-3600=0

a = 3; b = -30; c = -3600;
Δ = b2-4ac
Δ = -302-4·3·(-3600)
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*3}=\frac{-180}{6}
=-30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+210}{2*3}=\frac{240}{6}
=40
$