2x=26/6;x=

Solution for 2x=26/6;x= equation:

2x=26/6x=

We move all terms to the left:

2x-(26/6x)=0


Domain of the equation: 6x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2x-(+26/6x)=0

We get rid of parentheses

2x-26/6x=0

We multiply all the terms by the denominator


2x*6x-26=0

Wy multiply elements

12x^2-26=0

a = 12; b = 0; c = -26;
Δ = b2-4ac
Δ = 02-4·12·(-26)
Δ = 1248
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1248}=\sqrt{16*78}=\sqrt{16}*\sqrt{78}=4\sqrt{78}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{78}}{2*12}=\frac{0-4\sqrt{78}}{24}
=-\frac{4\sqrt{78}}{24}
=-\frac{\sqrt{78}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{78}}{2*12}=\frac{0+4\sqrt{78}}{24}
=\frac{4\sqrt{78}}{24}
=\frac{\sqrt{78}}{6}
$