2*10/b+2b=14

Solution for 2*10/b+2b=14 equation:

2*10/b+2b=14

We move all terms to the left:

2*10/b+2b-(14)=0


Domain of the equation: b!=0

b∈R


We add all the numbers together, and all the variables

2b+2*10/b-14=0

We multiply all the terms by the denominator


2b*b-14*b+2*10=0

We add all the numbers together, and all the variables

-14b+2b*b+20=0

Wy multiply elements

2b^2-14b+20=0

a = 2; b = -14; c = +20;
Δ = b2-4ac
Δ = -142-4·2·20
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-6}{2*2}=\frac{8}{4}
=2
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+6}{2*2}=\frac{20}{4}
=5
$