1596=6x^2+30x

Solution for 1596=6x^2+30x equation:

1596=6x^2+30x

We move all terms to the left:

1596-(6x^2+30x)=0

We get rid of parentheses

-6x^2-30x+1596=0

a = -6; b = -30; c = +1596;
Δ = b2-4ac
Δ = -302-4·(-6)·1596
Δ = 39204
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{39204}=198$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-198}{2*-6}=\frac{-168}{-12}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+198}{2*-6}=\frac{228}{-12}
=-19
$