(7n-2)(5n-6)=0

Solution for (7n-2)(5n-6)=0 equation:

(7n-2)(5n-6)=0

We multiply parentheses ..

(+35n^2-42n-10n+12)=0

We get rid of parentheses

35n^2-42n-10n+12=0

We add all the numbers together, and all the variables

35n^2-52n+12=0

a = 35; b = -52; c = +12;
Δ = b2-4ac
Δ = -522-4·35·12
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-52)-32}{2*35}=\frac{20}{70}
=2/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-52)+32}{2*35}=\frac{84}{70}
=1+1/5
$