19297.8=720x^2-156x

Solution for 19297.8=720x^2-156x equation:

19297.8=720x^2-156x

We move all terms to the left:

19297.8-(720x^2-156x)=0

We get rid of parentheses

-720x^2+156x+19297.8=0

a = -720; b = 156; c = +19297.8;
Δ = b2-4ac
Δ = 1562-4·(-720)·19297.8
Δ = 55602000
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:

$\sqrt{\Delta}=\sqrt{55602000}=\sqrt{3600*15445}=\sqrt{3600}*\sqrt{15445}=60\sqrt{15445}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(156)-60\sqrt{15445}}{2*-720}=\frac{-156-60\sqrt{15445}}{-1440}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(156)+60\sqrt{15445}}{2*-720}=\frac{-156+60\sqrt{15445}}{-1440}
$