x*x/2*2x=216

Solution for x*x/2*2x=216 equation:

x*x/2*2x=216

We move all terms to the left:

x*x/2*2x-(216)=0


Domain of the equation: 2*2x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


x*x-216*2*2x=0

Wy multiply elements

x^2-864x*2=0

Wy multiply elements

x^2-1728x=0

a = 1; b = -1728; c = 0;
Δ = b2-4ac
Δ = -17282-4·1·0
Δ = 2985984
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2985984}=1728$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1728)-1728}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1728)+1728}{2*1}=\frac{3456}{2}
=1728
$