2/9c+1/3c=3/8

Solution for 2/9c+1/3c=3/8 equation:

2/9c+1/3c=3/8

We move all terms to the left:

2/9c+1/3c-(3/8)=0


Domain of the equation: 9c!=0

c!=0/9

c!=0

c∈R



Domain of the equation: 3c!=0

c!=0/3

c!=0

c∈R


We add all the numbers together, and all the variables

2/9c+1/3c-(+3/8)=0

We get rid of parentheses

2/9c+1/3c-3/8=0

We calculate fractions


(-243c^2)/1728c^2+384c/1728c^2+576c/1728c^2=0

We multiply all the terms by the denominator


(-243c^2)+384c+576c=0

We add all the numbers together, and all the variables

(-243c^2)+960c=0

We get rid of parentheses

-243c^2+960c=0

a = -243; b = 960; c = 0;
Δ = b2-4ac
Δ = 9602-4·(-243)·0
Δ = 921600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{921600}=960$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(960)-960}{2*-243}=\frac{-1920}{-486}
=3+77/81
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(960)+960}{2*-243}=\frac{0}{-486}
=0
$