240=2x(x-2)

Solution for 240=2x(x-2) equation:

240=2x(x-2)

We move all terms to the left:

240-(2x(x-2))=0


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

2x(x-2)

We multiply parentheses

2x^2-4x

Back to the equation:

-(2x^2-4x)


We get rid of parentheses

-2x^2+4x+240=0

a = -2; b = 4; c = +240;
Δ = b2-4ac
Δ = 42-4·(-2)·240
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-44}{2*-2}=\frac{-48}{-4}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+44}{2*-2}=\frac{40}{-4}
=-10
$