600=2x(70-2x)

Solution for 600=2x(70-2x) equation:

600=2x(70-2x)

We move all terms to the left:

600-(2x(70-2x))=0

We add all the numbers together, and all the variables

-(2x(-2x+70))+600=0


We calculate terms in parentheses: -(2x(-2x+70)), so:

2x(-2x+70)

We multiply parentheses

-4x^2+140x

Back to the equation:

-(-4x^2+140x)


We get rid of parentheses

4x^2-140x+600=0

a = 4; b = -140; c = +600;
Δ = b2-4ac
Δ = -1402-4·4·600
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-140)-100}{2*4}=\frac{40}{8}
=5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-140)+100}{2*4}=\frac{240}{8}
=30
$