2b^2-4b-139=-6b+5

Solution for 2b^2-4b-139=-6b+5 equation:

2b^2-4b-139=-6b+5

We move all terms to the left:

2b^2-4b-139-(-6b+5)=0

We get rid of parentheses

2b^2-4b+6b-5-139=0

We add all the numbers together, and all the variables

2b^2+2b-144=0

a = 2; b = 2; c = -144;
Δ = b2-4ac
Δ = 22-4·2·(-144)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-34}{2*2}=\frac{-36}{4}
=-9
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+34}{2*2}=\frac{32}{4}
=8
$