0=x(1.296-0.00036x)

Solution for 0=x(1.296-0.00036x) equation:

0=x(1.296-0.00036x)

We move all terms to the left:

0-(x(1.296-0.00036x))=0

We add all the numbers together, and all the variables

-(x(-0.00036x+1.296))+0=0

We add all the numbers together, and all the variables

-(x(-0.00036x+1.296))=0


We calculate terms in parentheses: -(x(-0.00036x+1.296)), so:

x(-0.00036x+1.296)

We multiply parentheses

0x^2+1.296x

We add all the numbers together, and all the variables

x^2+1.296x

Back to the equation:

-(x^2+1.296x)


We get rid of parentheses

-x^2-1.296x=0

We add all the numbers together, and all the variables

-1x^2-1.296x=0

a = -1; b = -1.296; c = 0;
Δ = b2-4ac
Δ = -1.2962-4·(-1)·0
Δ = 1.679616
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{-(-1.296)-\sqrt{1.679616}}{2*-1}=\frac{1.296-\sqrt{1.679616}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.296)+\sqrt{1.679616}}{2*-1}=\frac{1.296+\sqrt{1.679616}}{-2}
$