(4/9)*n=10

Simple and best practice solution for (4/9)*n=10 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 (4/9)*n=10 equation:



(4/9)*n=10
We move all terms to the left:
(4/9)*n-(10)=0
Domain of the equation: 9)*n!=0
n!=0/1
n!=0
n∈R
We add all the numbers together, and all the variables
(+4/9)*n-10=0
We multiply parentheses
4n^2-10=0
a = 4; b = 0; c = -10;
Δ = b2-4ac
Δ = 02-4·4·(-10)
Δ = 160
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:
$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{10}}{2*4}=\frac{0-4\sqrt{10}}{8} =-\frac{4\sqrt{10}}{8} =-\frac{\sqrt{10}}{2} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{10}}{2*4}=\frac{0+4\sqrt{10}}{8} =\frac{4\sqrt{10}}{8} =\frac{\sqrt{10}}{2} $

See similar equations:

| 0.083(x-0.625)=0.09(x-0.59375) | | -6(-7x+4)=-24+42x | | 2x(x+3)-2(2x-1)=0 | | 954=j+303 | | 3(4x−2)+2=20 | | -6x+4x-5=-23 | | 2-2d=4 | | (x+3)(2x×-5)=40 | | 7^2x-8×7^x+7=0 | | 93+3x-18=180 | | x+2(x+1)=4(x-2) | | 93+3x-18=18- | | 5x-3(-19+4x)=22 | | 6+2k+4K=24 | | 12g+-6=1-g | | 5-2x+x=20 | | h/9=350/9 | | h/25=-25 | | x/9+16=-7 | | |-q|=17 | | 36-8x=-2(x+5)-2 | | 2.3z=36.8 | | 15+4x=-9 | | x/11=54 | | 2x+12+10x=4(2x+3) | | 5+4x-2x=9x+11+12 | | 4a+7=6a+5 | | ¾x=15 | | y-177=730 | | 7x+30-2x=50 | | 3x+2/5=7/5 | | 6(3x+3)=3(2x+4) |

Equations solver categories