4b/5b=6b

Solution for 4b/5b=6b equation:

4b/5b=6b

We move all terms to the left:

4b/5b-(6b)=0


Domain of the equation: 5b!=0

b!=0/5

b!=0

b∈R


We add all the numbers together, and all the variables

-6b+4b/5b=0

We multiply all the terms by the denominator


-6b*5b+4b=0

We add all the numbers together, and all the variables

4b-6b*5b=0

Wy multiply elements

-30b^2+4b=0

a = -30; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-30)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-30}=\frac{-8}{-60}
=2/15
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-30}=\frac{0}{-60}
=0
$