5b^2/b=72

Solution for 5b^2/b=72 equation:

5b^2/b=72

We move all terms to the left:

5b^2/b-(72)=0


Domain of the equation: b!=0

b∈R


We multiply all the terms by the denominator


5b^2-72*b=0

We add all the numbers together, and all the variables

5b^2-72b=0

a = 5; b = -72; c = 0;
Δ = b2-4ac
Δ = -722-4·5·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-72}{2*5}=\frac{0}{10}
=0
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+72}{2*5}=\frac{144}{10}
=14+2/5
$