(5x+2)(x-6)=180

Solution for (5x+2)(x-6)=180 equation:

(5x+2)(x-6)=180

We move all terms to the left:

(5x+2)(x-6)-(180)=0

We multiply parentheses ..

(+5x^2-30x+2x-12)-180=0

We get rid of parentheses

5x^2-30x+2x-12-180=0

We add all the numbers together, and all the variables

5x^2-28x-192=0

a = 5; b = -28; c = -192;
Δ = b2-4ac
Δ = -282-4·5·(-192)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-68}{2*5}=\frac{-40}{10}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+68}{2*5}=\frac{96}{10}
=9+3/5
$