5X=8X/9y

Solution for 5X=8X/9y equation:

5X=8X/9X

We move all terms to the left:

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


Domain of the equation: 9X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

5X-(+8X/9X)=0

We get rid of parentheses

5X-8X/9X=0

We multiply all the terms by the denominator


5X*9X-8X=0

We add all the numbers together, and all the variables

-8X+5X*9X=0

Wy multiply elements

45X^2-8X=0

a = 45; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·45·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*45}=\frac{0}{90}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*45}=\frac{16}{90}
=8/45
$