(5x+30)2x+90=180

Solution for (5x+30)2x+90=180 equation:

(5x+30)2x+90=180

We move all terms to the left:

(5x+30)2x+90-(180)=0

We add all the numbers together, and all the variables

(5x+30)2x-90=0

We multiply parentheses

10x^2+60x-90=0

a = 10; b = 60; c = -90;
Δ = b2-4ac
Δ = 602-4·10·(-90)
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60\sqrt{2}}{2*10}=\frac{-60-60\sqrt{2}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60\sqrt{2}}{2*10}=\frac{-60+60\sqrt{2}}{20}
$