4-2x+2x(5x-1)+2-x=11

Solution for 4-2x+2x(5x-1)+2-x=11 equation:

4-2x+2x(5x-1)+2-x=11

We move all terms to the left:

4-2x+2x(5x-1)+2-x-(11)=0

We add all the numbers together, and all the variables

-3x+2x(5x-1)-5=0

We multiply parentheses

10x^2-3x-2x-5=0

We add all the numbers together, and all the variables

10x^2-5x-5=0

a = 10; b = -5; c = -5;
Δ = b2-4ac
Δ = -52-4·10·(-5)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-15}{2*10}=\frac{-10}{20}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+15}{2*10}=\frac{20}{20}
=1
$