2x=((10x)/(4x))

Solution for 2x=((10x)/(4x)) equation:

2x=((10x)/(4x))

We move all terms to the left:

2x-(((10x)/(4x)))=0


Domain of the equation: 4x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2x-((+10x/4x))=0

We multiply all the terms by the denominator


2x*4x))-((+10x=0

We add all the numbers together, and all the variables

10x+2x*4x))-((=0

Wy multiply elements

8x^2+10x=0

a = 8; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·8·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*8}=\frac{-20}{16}
=-1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*8}=\frac{0}{16}
=0
$