x=2x(5x+2)

Solution for x=2x(5x+2) equation:

x=2x(5x+2)

We move all terms to the left:

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


We calculate terms in parentheses: -(2x(5x+2)), so:

2x(5x+2)

We multiply parentheses

10x^2+4x

Back to the equation:

-(10x^2+4x)


We get rid of parentheses

-10x^2+x-4x=0

We add all the numbers together, and all the variables

-10x^2-3x=0

a = -10; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·(-10)·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*-10}=\frac{0}{-20}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*-10}=\frac{6}{-20}
=-3/10
$