3c^2+8c=11c^2

Solution for 3c^2+8c=11c^2 equation:

3c^2+8c=11c^2

We move all terms to the left:

3c^2+8c-(11c^2)=0

determiningTheFunctionDomain
3c^2-11c^2+8c=0

We add all the numbers together, and all the variables

-8c^2+8c=0

a = -8; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-8)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-8}=\frac{-16}{-16}
=1
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-8}=\frac{0}{-16}
=0
$