(8x-2)(7x)=180

Solution for (8x-2)(7x)=180 equation:

(8x-2)(7x)=180

We move all terms to the left:

(8x-2)(7x)-(180)=0

We multiply parentheses

56x^2-14x-180=0

a = 56; b = -14; c = -180;
Δ = b2-4ac
Δ = -142-4·56·(-180)
Δ = 40516
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:

$\sqrt{\Delta}=\sqrt{40516}=\sqrt{4*10129}=\sqrt{4}*\sqrt{10129}=2\sqrt{10129}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{10129}}{2*56}=\frac{14-2\sqrt{10129}}{112}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{10129}}{2*56}=\frac{14+2\sqrt{10129}}{112}
$