6x(2x+11)=0

Solution for 6x(2x+11)=0 equation:

6x(2x+11)=0

We multiply parentheses

12x^2+66x=0

a = 12; b = 66; c = 0;
Δ = b2-4ac
Δ = 662-4·12·0
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-66}{2*12}=\frac{-132}{24}
=-5+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+66}{2*12}=\frac{0}{24}
=0
$