2/5c-16=c

Solution for 2/5c-16=c equation:

2/5c-16=c

We move all terms to the left:

2/5c-16-(c)=0


Domain of the equation: 5c!=0

c!=0/5

c!=0

c∈R


We add all the numbers together, and all the variables

-1c+2/5c-16=0

We multiply all the terms by the denominator


-1c*5c-16*5c+2=0

Wy multiply elements

-5c^2-80c+2=0

a = -5; b = -80; c = +2;
Δ = b2-4ac
Δ = -802-4·(-5)·2
Δ = 6440
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6440}=\sqrt{4*1610}=\sqrt{4}*\sqrt{1610}=2\sqrt{1610}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-2\sqrt{1610}}{2*-5}=\frac{80-2\sqrt{1610}}{-10}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+2\sqrt{1610}}{2*-5}=\frac{80+2\sqrt{1610}}{-10}
$