4/15c+1/5c=1/8

Solution for 4/15c+1/5c=1/8 equation:

4/15c+1/5c=1/8

We move all terms to the left:

4/15c+1/5c-(1/8)=0


Domain of the equation: 15c!=0

c!=0/15

c!=0

c∈R



Domain of the equation: 5c!=0

c!=0/5

c!=0

c∈R


We add all the numbers together, and all the variables

4/15c+1/5c-(+1/8)=0

We get rid of parentheses

4/15c+1/5c-1/8=0

We calculate fractions


(-375c^2)/4800c^2+1280c/4800c^2+960c/4800c^2=0

We multiply all the terms by the denominator


(-375c^2)+1280c+960c=0

We add all the numbers together, and all the variables

(-375c^2)+2240c=0

We get rid of parentheses

-375c^2+2240c=0

a = -375; b = 2240; c = 0;
Δ = b2-4ac
Δ = 22402-4·(-375)·0
Δ = 5017600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5017600}=2240$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2240)-2240}{2*-375}=\frac{-4480}{-750}
=5+73/75
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2240)+2240}{2*-375}=\frac{0}{-750}
=0
$