146b^2-2=-3b

Solution for 146b^2-2=-3b equation:

146b^2-2=-3b

We move all terms to the left:

146b^2-2-(-3b)=0

We get rid of parentheses

146b^2+3b-2=0

a = 146; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·146·(-2)
Δ = 1177
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{1177}}{2*146}=\frac{-3-\sqrt{1177}}{292}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1177}}{2*146}=\frac{-3+\sqrt{1177}}{292}
$