5x/8x=9x

Solution for 5x/8x=9x equation:

5x/8x=9x

We move all terms to the left:

5x/8x-(9x)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

-9x+5x/8x=0

We multiply all the terms by the denominator


-9x*8x+5x=0

We add all the numbers together, and all the variables

5x-9x*8x=0

Wy multiply elements

-72x^2+5x=0

a = -72; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-72)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-72}=\frac{-10}{-144}
=5/72
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-72}=\frac{0}{-144}
=0
$