8n(6n+1)=392

Simple and best practice solution for 8n(6n+1)=392 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t 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(6n+1)=392 equation:



8n(6n+1)=392
We move all terms to the left:
8n(6n+1)-(392)=0
We multiply parentheses
48n^2+8n-392=0
a = 48; b = 8; c = -392;
Δ = b2-4ac
Δ = 82-4·48·(-392)
Δ = 75328
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:
$\sqrt{\Delta}=\sqrt{75328}=\sqrt{64*1177}=\sqrt{64}*\sqrt{1177}=8\sqrt{1177}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8\sqrt{1177}}{2*48}=\frac{-8-8\sqrt{1177}}{96} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8\sqrt{1177}}{2*48}=\frac{-8+8\sqrt{1177}}{96} $

See similar equations:

| 2x-6x+4=4x-22 | | 5x—8=6x+8 | | (2k+11)+131=180 | | (-4)-4(-x-1)=-4(6+2x) | | X+12+2x+20=12 | | 4=-3a+4-2a | | -50-7m-8=62 | | 9x-(3x-5)=13 | | -75=-5(r+88) | | 5(y-1)-2(y+6)=2y+12 | | 1.02^x=3 | | -8z+14+17z=6z-16 | | 10u-6=8u | | 43=y5+ 35 | | 5(x+15)=300 | | -11f=-9-14f | | -2f-7=2f+9 | | 6y+4y/3=6 | | 1/4⋅10^x−24=1020 | | B-16=14-3b+18 | | 0=n+9/5 | | -2+17q=-16+18q | | 8g+5-8g=-5+g | | (n=7)(3n+5) | | F(x)=13x+6 | | 7n=8n+6 | | 5n+16;n=3 | | 6=7+v/4 | | -6p=-6-8p | | -5-6m=7-8m | | 5/3x+1/3x=131/3+1/3+8/3 | | (2x-17)*(x-5)-(3x+1)*(x-7)=84 |

Equations solver categories