200x=-10x(-10x)

Solution for 200x=-10x(-10x) equation:

200x=-10x(-10x)

We move all terms to the left:

200x-(-10x(-10x))=0


We calculate terms in parentheses: -(-10x(-10x)), so:

-10x(-10x)

We multiply parentheses

100x^2

Back to the equation:

-(100x^2)


determiningTheFunctionDomain
-100x^2+200x=0

a = -100; b = 200; c = 0;
Δ = b2-4ac
Δ = 2002-4·(-100)·0
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(200)-200}{2*-100}=\frac{-400}{-200}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(200)+200}{2*-100}=\frac{0}{-200}
=0
$