72*6x=x^2

Solution for 72*6x=x^2 equation:

72*6x=x^2

We move all terms to the left:

72*6x-(x^2)=0

determiningTheFunctionDomain
-x^2+72*6x=0

We add all the numbers together, and all the variables

-1x^2+72*6x=0

Wy multiply elements

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