-15n*18n+-4n-5=0

Solution for -15n*18n+-4n-5=0 equation:

-15n*18n+-4n-5=0

We add all the numbers together, and all the variables

-4n-15n*18n=0

Wy multiply elements

-270n^2-4n=0

a = -270; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·(-270)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*-270}=\frac{0}{-540}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*-270}=\frac{8}{-540}
=-2/135
$