2x/4x=5x

Solution for 2x/4x=5x equation:

2x/4x=5x

We move all terms to the left:

2x/4x-(5x)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

-5x+2x/4x=0

We multiply all the terms by the denominator


-5x*4x+2x=0

We add all the numbers together, and all the variables

2x-5x*4x=0

Wy multiply elements

-20x^2+2x=0

a = -20; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-20)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-20}=\frac{-4}{-40}
=1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-20}=\frac{0}{-40}
=0
$