0=13x(11-x)

Solution for 0=13x(11-x) equation:

0=13x(11-x)

We move all terms to the left:

0-(13x(11-x))=0

We add all the numbers together, and all the variables

-(13x(-1x+11))+0=0

We add all the numbers together, and all the variables

-(13x(-1x+11))=0


We calculate terms in parentheses: -(13x(-1x+11)), so:

13x(-1x+11)

We multiply parentheses

-13x^2+143x

Back to the equation:

-(-13x^2+143x)


We get rid of parentheses

13x^2-143x=0

a = 13; b = -143; c = 0;
Δ = b2-4ac
Δ = -1432-4·13·0
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*13}=\frac{0}{26}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-143)+143}{2*13}=\frac{286}{26}
=11
$