a/5a+2a-3a=C

Solution for a/5a+2a-3a=C equation:

a/5a+2a-3a=

We move all terms to the left:

a/5a+2a-3a-()=0


Domain of the equation: 5a!=0

a!=0/5

a!=0

a∈R


We add all the numbers together, and all the variables

-1a+a/5a=0

We multiply all the terms by the denominator


-1a*5a+a=0

We add all the numbers together, and all the variables

a-1a*5a=0

Wy multiply elements

-5a^2+a=0

a = -5; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-5)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-5}=\frac{-2}{-10}
=1/5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-5}=\frac{0}{-10}
=0
$