7.2-3c=2c2

Solution for 7.2-3c=2c2 equation:

7.2-3c=2c^2

We move all terms to the left:

7.2-3c-(2c^2)=0

determiningTheFunctionDomain
-2c^2-3c+7.2=0

a = -2; b = -3; c = +7.2;
Δ = b2-4ac
Δ = -32-4·(-2)·7.2
Δ = 66.6
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{-(-3)-\sqrt{66.6}}{2*-2}=\frac{3-\sqrt{66.6}}{-4}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{66.6}}{2*-2}=\frac{3+\sqrt{66.6}}{-4}
$