20x^2=144x-144

Solution for 20x^2=144x-144 equation:

20x^2=144x-144

We move all terms to the left:

20x^2-(144x-144)=0

We get rid of parentheses

20x^2-144x+144=0

a = 20; b = -144; c = +144;
Δ = b2-4ac
Δ = -1442-4·20·144
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-96}{2*20}=\frac{48}{40}
=1+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+96}{2*20}=\frac{240}{40}
=6
$