3b^2+9b-22=2b^2

Solution for 3b^2+9b-22=2b^2 equation:

3b^2+9b-22=2b^2

We move all terms to the left:

3b^2+9b-22-(2b^2)=0

determiningTheFunctionDomain
3b^2-2b^2+9b-22=0

We add all the numbers together, and all the variables

b^2+9b-22=0

a = 1; b = 9; c = -22;
Δ = b2-4ac
Δ = 92-4·1·(-22)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-13}{2*1}=\frac{-22}{2}
=-11
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+13}{2*1}=\frac{4}{2}
=2
$