2(6)+2x(2)=6(2x)

Solution for 2(6)+2x(2)=6(2x) equation:

2(6)+2x(2)=6(2x)

We move all terms to the left:

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

determiningTheFunctionDomain
2x2-62x+26=0

We add all the numbers together, and all the variables

2x^2-62x+26=0

a = 2; b = -62; c = +26;
Δ = b2-4ac
Δ = -622-4·2·26
Δ = 3636
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:

$\sqrt{\Delta}=\sqrt{3636}=\sqrt{36*101}=\sqrt{36}*\sqrt{101}=6\sqrt{101}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-62)-6\sqrt{101}}{2*2}=\frac{62-6\sqrt{101}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-62)+6\sqrt{101}}{2*2}=\frac{62+6\sqrt{101}}{4}
$