-2c^2-9c-2=-3c^2

Solution for -2c^2-9c-2=-3c^2 equation:

-2c^2-9c-2=-3c^2

We move all terms to the left:

-2c^2-9c-2-(-3c^2)=0

We get rid of parentheses

-2c^2+3c^2-9c-2=0

We add all the numbers together, and all the variables

c^2-9c-2=0

a = 1; b = -9; c = -2;
Δ = b2-4ac
Δ = -92-4·1·(-2)
Δ = 89
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{-(-9)-\sqrt{89}}{2*1}=\frac{9-\sqrt{89}}{2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{89}}{2*1}=\frac{9+\sqrt{89}}{2}
$