x(2x-5.5+11)=0

Solution for x(2x-5.5+11)=0 equation:

x(2x-5.5+11)=0

We add all the numbers together, and all the variables

x(2x+5.5)=0

We multiply parentheses

2x^2+5.5x=0

a = 2; b = 5.5; c = 0;
Δ = b2-4ac
Δ = 5.52-4·2·0
Δ = 30.25
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{-(5.5)-\sqrt{30.25}}{2*2}=\frac{-5.5-\sqrt{30.25}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.5)+\sqrt{30.25}}{2*2}=\frac{-5.5+\sqrt{30.25}}{4}
$