-7n(2)-6n-3=-3

Solution for -7n(2)-6n-3=-3 equation:

-7n(2)-6n-3=-3

We move all terms to the left:

-7n(2)-6n-3-(-3)=0

We add all the numbers together, and all the variables

-7n^2-6n=0

a = -7; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-7)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-7}=\frac{0}{-14}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-7}=\frac{12}{-14}
=-6/7
$