45/2x=10x

Solution for 45/2x=10x equation:

45/2x=10x

We move all terms to the left:

45/2x-(10x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-10x+45/2x=0

We multiply all the terms by the denominator


-10x*2x+45=0

Wy multiply elements

-20x^2+45=0

a = -20; b = 0; c = +45;
Δ = b2-4ac
Δ = 02-4·(-20)·45
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-20}=\frac{-60}{-40}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-20}=\frac{60}{-40}
=-1+1/2
$