# 8n-14n-3n^2+2=0

## Simple and best practice solution for 8n-14n-3n^2+2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so dont hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

## Solution for 8n-14n-3n^2+2=0 equation:

8n-14n-3n^2+2=0
We add all the numbers together, and all the variables
-3n^2-6n+2=0
a = -3; b = -6; c = +2;Δ = b2-4acΔ = -62-4·(-3)·2Δ = 60The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$The end solution:
$\sqrt{\Delta}=\sqrt{60}=\sqrt{4*15}=\sqrt{4}*\sqrt{15}=2\sqrt{15}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-2\sqrt{15}}{2*-3}=\frac{6-2\sqrt{15}}{-6}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+2\sqrt{15}}{2*-3}=\frac{6+2\sqrt{15}}{-6}$

`