(2/3)(9a+6)=27.4

Solution for (2/3)(9a+6)=27.4 equation:

(2/3)(9a+6)=27.4

We move all terms to the left:

(2/3)(9a+6)-(27.4)=0


Domain of the equation: 3)(9a+6)!=0

a∈R


We add all the numbers together, and all the variables

(+2/3)(9a+6)-(27.4)=0

We add all the numbers together, and all the variables

(+2/3)(9a+6)-27.4=0

We multiply parentheses ..

(+18a^2+2/3*6)-27.4=0

We multiply all the terms by the denominator


(+18a^2+2-(27.4)*3*6)=0


We calculate terms in parentheses: +(+18a^2+2-(27.4)*3*6), so:

+18a^2+2-(27.4)*3*6

determiningTheFunctionDomain
18a^2+2-(27.4)*3*6

We add all the numbers together, and all the variables

18a^2-491.2

Back to the equation:

+(18a^2-491.2)


We get rid of parentheses

18a^2-491.2=0

a = 18; b = 0; c = -491.2;
Δ = b2-4ac
Δ = 02-4·18·(-491.2)
Δ = 35366.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{35366.4}}{2*18}=\frac{0-\sqrt{35366.4}}{36}
=-\frac{\sqrt{}}{36}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{35366.4}}{2*18}=\frac{0+\sqrt{35366.4}}{36}
=\frac{\sqrt{}}{36}
$