-2n(6n-5)=-26

Solution for -2n(6n-5)=-26 equation:

-2n(6n-5)=-26

We move all terms to the left:

-2n(6n-5)-(-26)=0

We add all the numbers together, and all the variables

-2n(6n-5)+26=0

We multiply parentheses

-12n^2+10n+26=0

a = -12; b = 10; c = +26;
Δ = b2-4ac
Δ = 102-4·(-12)·26
Δ = 1348
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1348}=\sqrt{4*337}=\sqrt{4}*\sqrt{337}=2\sqrt{337}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{337}}{2*-12}=\frac{-10-2\sqrt{337}}{-24}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{337}}{2*-12}=\frac{-10+2\sqrt{337}}{-24}
$