2x*x*2/3x=260

Solution for 2x*x*2/3x=260 equation:

2x*x*2/3x=260

We move all terms to the left:

2x*x*2/3x-(260)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We multiply all the terms by the denominator


2x*x*2-260*3x=0

Wy multiply elements

4x^2*2-780x=0

Wy multiply elements

8x^2-780x=0

a = 8; b = -780; c = 0;
Δ = b2-4ac
Δ = -7802-4·8·0
Δ = 608400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{608400}=780$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-780)-780}{2*8}=\frac{0}{16}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-780)+780}{2*8}=\frac{1560}{16}
=97+1/2
$