2/9a+2/3a=7

Simple and best practice solution for 2/9a+2/3a=7 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 2/9a+2/3a=7 equation:



2/9a+2/3a=7
We move all terms to the left:
2/9a+2/3a-(7)=0
Domain of the equation: 9a!=0
a!=0/9
a!=0
a∈R
Domain of the equation: 3a!=0
a!=0/3
a!=0
a∈R
We calculate fractions
6a/27a^2+18a/27a^2-7=0
We multiply all the terms by the denominator
6a+18a-7*27a^2=0
We add all the numbers together, and all the variables
24a-7*27a^2=0
Wy multiply elements
-189a^2+24a=0
a = -189; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-189)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*-189}=\frac{-48}{-378} =8/63 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-189}=\frac{0}{-378} =0 $

You can always share this solution

See similar equations:

| -9x^2-4x+5=0 | | X2+21x+20=0 | | 0.5*75*v^2=75*9.81*10 | | 120x+145=-50x+315 | | x-56,409=240,022 | | x/x-3=3/2 | | x/x-3=3.2 | | x+50=3/2x | | x-18=34x-18+18=34+18x=18+34Xx=52 | | 20=1/2*b*4 | | 4x-28=80-4x | | 3.1x=4.2 | | (7-v)(5v+3)=0 | | 7/n=2/4 | | -7–15w=23 | | xx0.12=8 | | 4(y+3)^2=24 | | -8x^2+x+1/32=0 | | 60x=6000 | | -x^2+6x+-9=0 | | 2+21x+25x-2=138 | | x+152+x+40=168 | | 10x=17+13 | | 4n2+5n-250=0 | | (1.5+1.5)v=1.5(2.5)+1.5(-2.5) | | x+13=24/4x+13=24 | | .756=x/(x+10000) | | 6c+5/3=4c+1/2+5c/6 | | 1=0.25(2x+8) | | 3a+20=70 | | (4+9+16÷4)-8-3×5=z | | (4+9+16÷4)-8-3×5=s |

Equations solver categories