C/(2c+2)c=5

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Solution for C/(2c+2)c=5 equation:



/(2C+2)C=5
We move all terms to the left:
/(2C+2)C-(5)=0
Domain of the equation: (2C+2)C!=0
C∈R
We multiply all the terms by the denominator
-5*(2C+2)C+=0
We add all the numbers together, and all the variables
-5*(2C+2)C=0
We multiply parentheses
-10C^2-10C=0
a = -10; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·(-10)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*-10}=\frac{0}{-20} =0 $
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*-10}=\frac{20}{-20} =-1 $

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