(6n-1)(n+1)=0

Solution for (6n-1)(n+1)=0 equation:

(6n-1)(n+1)=0

We multiply parentheses ..

(+6n^2+6n-1n-1)=0

We get rid of parentheses

6n^2+6n-1n-1=0

We add all the numbers together, and all the variables

6n^2+5n-1=0

a = 6; b = 5; c = -1;
Δ = b2-4ac
Δ = 52-4·6·(-1)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-7}{2*6}=\frac{-12}{12}
=-1
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+7}{2*6}=\frac{2}{12}
=1/6
$