x^2+324x=72x

Solution for x^2+324x=72x equation:

x^2+324x=72x

We move all terms to the left:

x^2+324x-(72x)=0

We add all the numbers together, and all the variables

x^2+252x=0

a = 1; b = 252; c = 0;
Δ = b2-4ac
Δ = 2522-4·1·0
Δ = 63504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{63504}=252$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(252)-252}{2*1}=\frac{-504}{2}
=-252
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(252)+252}{2*1}=\frac{0}{2}
=0
$