(10x+8)2x+136=180

Solution for (10x+8)2x+136=180 equation:

(10x+8)2x+136=180

We move all terms to the left:

(10x+8)2x+136-(180)=0

We add all the numbers together, and all the variables

(10x+8)2x-44=0

We multiply parentheses

20x^2+16x-44=0

a = 20; b = 16; c = -44;
Δ = b2-4ac
Δ = 162-4·20·(-44)
Δ = 3776
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:

$\sqrt{\Delta}=\sqrt{3776}=\sqrt{64*59}=\sqrt{64}*\sqrt{59}=8\sqrt{59}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-8\sqrt{59}}{2*20}=\frac{-16-8\sqrt{59}}{40}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+8\sqrt{59}}{2*20}=\frac{-16+8\sqrt{59}}{40}
$