2x*6x+20=180

Solution for 2x*6x+20=180 equation:

2x*6x+20=180

We move all terms to the left:

2x*6x+20-(180)=0

We add all the numbers together, and all the variables

2x*6x-160=0

Wy multiply elements

12x^2-160=0

a = 12; b = 0; c = -160;
Δ = b2-4ac
Δ = 02-4·12·(-160)
Δ = 7680
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:

$\sqrt{\Delta}=\sqrt{7680}=\sqrt{256*30}=\sqrt{256}*\sqrt{30}=16\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{30}}{2*12}=\frac{0-16\sqrt{30}}{24}
=-\frac{16\sqrt{30}}{24}
=-\frac{2\sqrt{30}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{30}}{2*12}=\frac{0+16\sqrt{30}}{24}
=\frac{16\sqrt{30}}{24}
=\frac{2\sqrt{30}}{3}
$