x=2x*(-1+2x)

Solution for x=2x*(-1+2x) equation:

x=2x*(-1+2x)

We move all terms to the left:

x-(2x*(-1+2x))=0

We add all the numbers together, and all the variables

x-(2x*(2x-1))=0


We calculate terms in parentheses: -(2x*(2x-1)), so:

2x*(2x-1)

We multiply parentheses

4x^2-2x

Back to the equation:

-(4x^2-2x)


We get rid of parentheses

-4x^2+x+2x=0

We add all the numbers together, and all the variables

-4x^2+3x=0

a = -4; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-4)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-4}=\frac{-6}{-8}
=3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-4}=\frac{0}{-8}
=0
$