8x(x+9x)=180

Solution for 8x(x+9x)=180 equation:

8x(x+9x)=180

We move all terms to the left:

8x(x+9x)-(180)=0

We add all the numbers together, and all the variables

8x(+10x)-180=0

We multiply parentheses

80x^2-180=0

a = 80; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·80·(-180)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*80}=\frac{-240}{160}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*80}=\frac{240}{160}
=1+1/2
$