2/7c-1/14c=-3

Solution for 2/7c-1/14c=-3 equation:

2/7c-1/14c=-3

We move all terms to the left:

2/7c-1/14c-(-3)=0


Domain of the equation: 7c!=0

c!=0/7

c!=0

c∈R



Domain of the equation: 14c!=0

c!=0/14

c!=0

c∈R


We add all the numbers together, and all the variables

2/7c-1/14c+3=0

We calculate fractions


28c/98c^2+(-7c)/98c^2+3=0

We multiply all the terms by the denominator


28c+(-7c)+3*98c^2=0

Wy multiply elements

294c^2+28c+(-7c)=0

We get rid of parentheses

294c^2+28c-7c=0

We add all the numbers together, and all the variables

294c^2+21c=0

a = 294; b = 21; c = 0;
Δ = b2-4ac
Δ = 212-4·294·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-21}{2*294}=\frac{-42}{588}
=-1/14
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+21}{2*294}=\frac{0}{588}
=0
$