(c^2)/2-0.5c=0.125

Solution for (c^2)/2-0.5c=0.125 equation:

(c^2)/2-0.5c=0.125

We move all terms to the left:

(c^2)/2-0.5c-(0.125)=0

We add all the numbers together, and all the variables

c^2/2-0.5c-0.125=0

We multiply all the terms by the denominator


c^2-(0.5c)*2-(0.125)*2=0

We add all the numbers together, and all the variables

c^2-(+0.5c)*2-(0.125)*2=0

We add all the numbers together, and all the variables

c^2-(+0.5c)*2-0.25=0

We multiply parentheses

c^2-0c-0.25=0

We add all the numbers together, and all the variables

c^2-1c-0.25=0

a = 1; b = -1; c = -0.25;
Δ = b2-4ac
Δ = -12-4·1·(-0.25)
Δ = 2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{2}}{2*1}=\frac{1-\sqrt{2}}{2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{2}}{2*1}=\frac{1+\sqrt{2}}{2}
$