(-6n+5)(6n+5)=0

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

(-6n+5)(6n+5)=0

We multiply parentheses ..

(-36n^2-30n+30n+25)=0

We get rid of parentheses

-36n^2-30n+30n+25=0

We add all the numbers together, and all the variables

-36n^2+25=0

a = -36; b = 0; c = +25;
Δ = b2-4ac
Δ = 02-4·(-36)·25
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-36}=\frac{-60}{-72}
=5/6
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-36}=\frac{60}{-72}
=-5/6
$