2a+6a(2)=180

Solution for 2a+6a(2)=180 equation:

2a+6a(2)=180

We move all terms to the left:

2a+6a(2)-(180)=0

We add all the numbers together, and all the variables

6a^2+2a-180=0

a = 6; b = 2; c = -180;
Δ = b2-4ac
Δ = 22-4·6·(-180)
Δ = 4324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4324}=\sqrt{4*1081}=\sqrt{4}*\sqrt{1081}=2\sqrt{1081}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{1081}}{2*6}=\frac{-2-2\sqrt{1081}}{12}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{1081}}{2*6}=\frac{-2+2\sqrt{1081}}{12}
$