14.1-2/5h=13.9-3h

Solution for 14.1-2/5h=13.9-3h equation:

14.1-2/5h=13.9-3h

We move all terms to the left:

14.1-2/5h-(13.9-3h)=0


Domain of the equation: 5h!=0

h!=0/5

h!=0

h∈R


We add all the numbers together, and all the variables

-2/5h-(-3h+13.9)+14.1=0

We get rid of parentheses

-2/5h+3h-13.9+14.1=0

We multiply all the terms by the denominator


3h*5h-(13.9)*5h+(14.1)*5h-2=0

We multiply parentheses

3h*5h-69.5h+70.5h-2=0

Wy multiply elements

15h^2-69.5h+70.5h-2=0

We add all the numbers together, and all the variables

15h^2+h-2=0

a = 15; b = 1; c = -2;
Δ = b2-4ac
Δ = 12-4·15·(-2)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-11}{2*15}=\frac{-12}{30}
=-2/5
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+11}{2*15}=\frac{10}{30}
=1/3
$