.0000000081=(x)(x+.137)

Solution for .0000000081=(x)(x+.137) equation:

.0000000081=(x)(x+.137)

We move all terms to the left:

.0000000081-((x)(x+.137))=0

We add all the numbers together, and all the variables

-(x(x+0.137))+.0000000081=0

We add all the numbers together, and all the variables

-(x(x+0.137))-9+8.1E=0


We calculate terms in parentheses: -(x(x+0.137)), so:

x(x+0.137)

We multiply parentheses

x^2+0.137x

Back to the equation:

-(x^2+0.137x)


We add all the numbers together, and all the variables

-(x^2+0.137x)+13.018082810518=0

We get rid of parentheses

-x^2-0.137x+13.018082810518=0

We add all the numbers together, and all the variables

-1x^2-0.137x+13.018082810518=0

a = -1; b = -0.137; c = +13.018082810518;
Δ = b2-4ac
Δ = -0.1372-4·(-1)·13.018082810518
Δ = 52.091100242072
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.137)-\sqrt{52.091100242072}}{2*-1}=\frac{0.137-\sqrt{52.091100242072}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.137)+\sqrt{52.091100242072}}{2*-1}=\frac{0.137+\sqrt{52.091100242072}}{-2}
$