7a/9a.7=3a

Solution for 7a/9a.7=3a equation:

7a/9a.7=3a

We move all terms to the left:

7a/9a.7-(3a)=0


Domain of the equation: 9a.7!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

-3a+7a/9a.7=0

We multiply all the terms by the denominator


-3a*9a.7+7a=0

We add all the numbers together, and all the variables

7a-3a*9a.7=0

Wy multiply elements

-27a^2+7a=0

a = -27; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-27)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-27}=\frac{-14}{-54}
=7/27
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-27}=\frac{0}{-54}
=0
$