2*180=2x(2x+2)

Solution for 2*180=2x(2x+2) equation:

2*180=2x(2x+2)

We move all terms to the left:

2*180-(2x(2x+2))=0

We add all the numbers together, and all the variables

-(2x(2x+2))+360=0


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

2x(2x+2)

We multiply parentheses

4x^2+4x

Back to the equation:

-(4x^2+4x)


We get rid of parentheses

-4x^2-4x+360=0

a = -4; b = -4; c = +360;
Δ = b2-4ac
Δ = -42-4·(-4)·360
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-76}{2*-4}=\frac{-72}{-8}
=+9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+76}{2*-4}=\frac{80}{-8}
=-10
$