(14x-10)(5x)=180

Solution for (14x-10)(5x)=180 equation:

(14x-10)(5x)=180

We move all terms to the left:

(14x-10)(5x)-(180)=0

We multiply parentheses

70x^2-50x-180=0

a = 70; b = -50; c = -180;
Δ = b2-4ac
Δ = -502-4·70·(-180)
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-230}{2*70}=\frac{-180}{140}
=-1+2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+230}{2*70}=\frac{280}{140}
=2
$