1/2x*4x=18

Solution for 1/2x*4x=18 equation:

1/2x*4x=18

We move all terms to the left:

1/2x*4x-(18)=0


Domain of the equation: 2x*4x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-18*2x*4x+1=0

Wy multiply elements

-144x^2*4+1=0

Wy multiply elements

-576x^2+1=0

a = -576; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-576)·1
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-576}=\frac{-48}{-1152}
=1/24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-576}=\frac{48}{-1152}
=-1/24
$