9x(x-11)+5(x-11)=0

Solution for 9x(x-11)+5(x-11)=0 equation:

9x(x-11)+5(x-11)=0

We multiply parentheses

9x^2-99x+5x-55=0

We add all the numbers together, and all the variables

9x^2-94x-55=0

a = 9; b = -94; c = -55;
Δ = b2-4ac
Δ = -942-4·9·(-55)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-94)-104}{2*9}=\frac{-10}{18}
=-5/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-94)+104}{2*9}=\frac{198}{18}
=11
$