2/9h=8h

Solution for 2/9h=8h equation:

2/9h=8h

We move all terms to the left:

2/9h-(8h)=0


Domain of the equation: 9h!=0

h!=0/9

h!=0

h∈R


We add all the numbers together, and all the variables

-8h+2/9h=0

We multiply all the terms by the denominator


-8h*9h+2=0

Wy multiply elements

-72h^2+2=0

a = -72; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-72)·2
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-72}=\frac{-24}{-144}
=1/6
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-72}=\frac{24}{-144}
=-1/6
$