2x(x-5)(2+11)=0

Solution for 2x(x-5)(2+11)=0 equation:

2x(x-5)(2+11)=0

We add all the numbers together, and all the variables

2x(x-5)13=0

We multiply parentheses

26x^2-130x=0

a = 26; b = -130; c = 0;
Δ = b2-4ac
Δ = -1302-4·26·0
Δ = 16900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16900}=130$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-130)-130}{2*26}=\frac{0}{52}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-130)+130}{2*26}=\frac{260}{52}
=5
$