x*x+144x=576x

Solution for x*x+144x=576x equation:

x*x+144x=576x

We move all terms to the left:

x*x+144x-(576x)=0

We add all the numbers together, and all the variables

-432x+x*x=0

Wy multiply elements

x^2-432x=0

a = 1; b = -432; c = 0;
Δ = b2-4ac
Δ = -4322-4·1·0
Δ = 186624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{186624}=432$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-432)-432}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-432)+432}{2*1}=\frac{864}{2}
=432
$