(5b-2)(6b=5)

Solution for (5b-2)(6b=5) equation:

(5b-2)(6b=5)

We move all terms to the left:

(5b-2)(6b-(5))=0

We multiply parentheses ..

(+30b^2-25b-12b+10)=0

We get rid of parentheses

30b^2-25b-12b+10=0

We add all the numbers together, and all the variables

30b^2-37b+10=0

a = 30; b = -37; c = +10;
Δ = b2-4ac
Δ = -372-4·30·10
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{-(-37)-13}{2*30}=\frac{24}{60}
=2/5
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+13}{2*30}=\frac{50}{60}
=5/6
$