(9x*5)5x=4x

Solution for (9x*5)5x=4x equation:

(9x*5)5x=4x

We move all terms to the left:

(9x*5)5x-(4x)=0

We add all the numbers together, and all the variables

(+9x*5)5x-4x=0

We add all the numbers together, and all the variables

-4x+(+9x*5)5x=0

We multiply parentheses

225x^2-4x=0

a = 225; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·225·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*225}=\frac{0}{450}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*225}=\frac{8}{450}
=4/225
$