x=8.2x(10x+18)

Solution for x=8.2x(10x+18) equation:

x=8.2x(10x+18)

We move all terms to the left:

x-(8.2x(10x+18))=0


We calculate terms in parentheses: -(8.2x(10x+18)), so:

8.2x(10x+18)

We multiply parentheses

80x^2+144x

Back to the equation:

-(80x^2+144x)


We get rid of parentheses

-80x^2+x-144x=0

We add all the numbers together, and all the variables

-80x^2-143x=0

a = -80; b = -143; c = 0;
Δ = b2-4ac
Δ = -1432-4·(-80)·0
Δ = 20449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20449}=143$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-143)-143}{2*-80}=\frac{0}{-160}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-143)+143}{2*-80}=\frac{286}{-160}
=-1+63/80
$