3x/8x=5x

Solution for 3x/8x=5x equation:

3x/8x=5x

We move all terms to the left:

3x/8x-(5x)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

-5x+3x/8x=0

We multiply all the terms by the denominator


-5x*8x+3x=0

We add all the numbers together, and all the variables

3x-5x*8x=0

Wy multiply elements

-40x^2+3x=0

a = -40; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-40)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-40}=\frac{-6}{-80}
=3/40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-40}=\frac{0}{-80}
=0
$