(6x+5)(6x+5)=180

Solution for (6x+5)(6x+5)=180 equation:

(6x+5)(6x+5)=180

We move all terms to the left:

(6x+5)(6x+5)-(180)=0

We multiply parentheses ..

(+36x^2+30x+30x+25)-180=0

We get rid of parentheses

36x^2+30x+30x+25-180=0

We add all the numbers together, and all the variables

36x^2+60x-155=0

a = 36; b = 60; c = -155;
Δ = b2-4ac
Δ = 602-4·36·(-155)
Δ = 25920
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:

$\sqrt{\Delta}=\sqrt{25920}=\sqrt{5184*5}=\sqrt{5184}*\sqrt{5}=72\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-72\sqrt{5}}{2*36}=\frac{-60-72\sqrt{5}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+72\sqrt{5}}{2*36}=\frac{-60+72\sqrt{5}}{72}
$