(16x-30)(14x-6)=0

Solution for (16x-30)(14x-6)=0 equation:

(16x-30)(14x-6)=0

We multiply parentheses ..

(+224x^2-96x-420x+180)=0

We get rid of parentheses

224x^2-96x-420x+180=0

We add all the numbers together, and all the variables

224x^2-516x+180=0

a = 224; b = -516; c = +180;
Δ = b2-4ac
Δ = -5162-4·224·180
Δ = 104976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{104976}=324$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-516)-324}{2*224}=\frac{192}{448}
=3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-516)+324}{2*224}=\frac{840}{448}
=1+7/8
$