2/3n+7=3/4n-9

Simple and best practice solution for 2/3n+7=3/4n-9 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 2/3n+7=3/4n-9 equation:



2/3n+7=3/4n-9
We move all terms to the left:
2/3n+7-(3/4n-9)=0
Domain of the equation: 3n!=0
n!=0/3
n!=0
n∈R
Domain of the equation: 4n-9)!=0
n∈R
We get rid of parentheses
2/3n-3/4n+9+7=0
We calculate fractions
8n/12n^2+(-9n)/12n^2+9+7=0
We add all the numbers together, and all the variables
8n/12n^2+(-9n)/12n^2+16=0
We multiply all the terms by the denominator
8n+(-9n)+16*12n^2=0
Wy multiply elements
192n^2+8n+(-9n)=0
We get rid of parentheses
192n^2+8n-9n=0
We add all the numbers together, and all the variables
192n^2-1n=0
a = 192; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·192·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*192}=\frac{0}{384} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*192}=\frac{2}{384} =1/192 $

See similar equations:

| -4(6x-9)+7=-24x+43 | | 3m-10=-5m+10 | | 4+7x=-11+2x-1+7x | | 2/7x+3/7=1-4/7x | | 8y+3y=-66 | | 5z+2=2(3z+4) | | 35-x=12 | | -36=-6(2x-7) | | 5t+16=6=5t | | -2(3x-4)+12=5(-2x+8) | | 27-(26-20)xx=9 | | 15-2x=6x-1 | | 4.7=6.1-0.7x | | 4(x-3)=4-(3x+2) | | 5b=12 | | 3y-2y=4+11 | | 5(y+3)+2=5y+17 | | 5(y+13)+2=5y+17 | | 7(x-3)-4(x-4)=22 | | c+44=12c+11c | | 3x-2-10=11 | | 2/5x+1/3=3/7-3/5x+3/7 | | 1^4y+1^2=5 | | 2(3x-1)=x+2 | | (8x+2)=180 | | 2/4x-7=26 | | 246=-u+21 | | 1/x+1/(x+4)=1/3 | | 8x-3(x-2)=19 | | v=4/3*3.14*10.7^3 | | 24x-7=26 | | 5x+10x^2=20 |

Equations solver categories