14/15c+1/5c=1/4

Solution for 14/15c+1/5c=1/4 equation:

14/15c+1/5c=1/4

We move all terms to the left:

14/15c+1/5c-(1/4)=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

14/15c+1/5c-(+1/4)=0

We get rid of parentheses

14/15c+1/5c-1/4=0

We calculate fractions


(-375c^2)/1200c^2+1120c/1200c^2+240c/1200c^2=0

We multiply all the terms by the denominator


(-375c^2)+1120c+240c=0

We add all the numbers together, and all the variables

(-375c^2)+1360c=0

We get rid of parentheses

-375c^2+1360c=0

a = -375; b = 1360; c = 0;
Δ = b2-4ac
Δ = 13602-4·(-375)·0
Δ = 1849600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849600}=1360$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1360)-1360}{2*-375}=\frac{-2720}{-750}
=3+47/75
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1360)+1360}{2*-375}=\frac{0}{-750}
=0
$