2(3+n)n=4

Simple and best practice solution for 2(3+n)n=4 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 2(3+n)n=4 equation:



2(3+n)n=4
We move all terms to the left:
2(3+n)n-(4)=0
We add all the numbers together, and all the variables
2(n+3)n-4=0
We multiply parentheses
2n^2+6n-4=0
a = 2; b = 6; c = -4;
Δ = b2-4ac
Δ = 62-4·2·(-4)
Δ = 68
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:
$\sqrt{\Delta}=\sqrt{68}=\sqrt{4*17}=\sqrt{4}*\sqrt{17}=2\sqrt{17}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{17}}{2*2}=\frac{-6-2\sqrt{17}}{4} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{17}}{2*2}=\frac{-6+2\sqrt{17}}{4} $

See similar equations:

| 0.75r=0.625+r | | (a+7)^2+4=49 | | m(2m+7)=3 | | -(x+4.4)+7.8=1 | | 4x+3x=2x+30 | | 2x+1+3x+3x+5=2x+7+2x+7+2x | | 9=4x-43 | | 5÷10m+5=15 | | -8x+40/x=2 | | 20+4x=5-5x | | 668=60x/3+4/3 | | 60/3x+4/3=668 | | 125x-75x+42,750=45000-175x | | 1x-90=x | | 2x+(-3)-(-5x)-(+8)=8-2× | | -3k+4=-2+-6k | | 13x=500 | | 5(5t+5)=25t-7 | | 7/2×p-(p+4)=6 | | 4x-7×-8+3=18-5x | | 3−7x(3+4x)=−18 | | 7x-13=34 | | X-6x=100 | | 6.558x-7.324×=2.334×+1.102 | | (X+4)10=12(7-x) | | 4.2+10m=7.32 | | 9x-8=7-4x | | 87x=132 | | 75÷100×x=15 | | 4(2x-1.8)=4x-7.2 | | -0.9x+4.63=-0.7x+2.83 | | -0.7x+1.82=-0.3x+0.62 |

Equations solver categories