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 dont 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 = b2-4acΔ = 242-4·(-189)·0Δ = 576The delta value is higher than zero, so the equation has two solutionsWe 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$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*-189}=\frac{-48}{-378} =8/63$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-189}=\frac{0}{-378} =0$

`