6b2+14b-143=7b

Solution for 6b2+14b-143=7b equation:

6b^2+14b-143=7b

We move all terms to the left:

6b^2+14b-143-(7b)=0

We add all the numbers together, and all the variables

6b^2+7b-143=0

a = 6; b = 7; c = -143;
Δ = b2-4ac
Δ = 72-4·6·(-143)
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-59}{2*6}=\frac{-66}{12}
=-5+1/2
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+59}{2*6}=\frac{52}{12}
=4+1/3
$