7/10c+c=187

Solution for 7/10c+c=187 equation:

7/10c+c=187

We move all terms to the left:

7/10c+c-(187)=0


Domain of the equation: 10c!=0

c!=0/10

c!=0

c∈R


We add all the numbers together, and all the variables

c+7/10c-187=0

We multiply all the terms by the denominator


c*10c-187*10c+7=0

Wy multiply elements

10c^2-1870c+7=0

a = 10; b = -1870; c = +7;
Δ = b2-4ac
Δ = -18702-4·10·7
Δ = 3496620
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:

$\sqrt{\Delta}=\sqrt{3496620}=\sqrt{4*874155}=\sqrt{4}*\sqrt{874155}=2\sqrt{874155}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1870)-2\sqrt{874155}}{2*10}=\frac{1870-2\sqrt{874155}}{20}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1870)+2\sqrt{874155}}{2*10}=\frac{1870+2\sqrt{874155}}{20}
$