2x-(128000x^2)=0

Solution for 2x-(128000x^2)=0 equation:

2x-(128000x^2)=0

determiningTheFunctionDomain
-128000x^2+2x=0

a = -128000; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-128000)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-128000}=\frac{-4}{-256000}
=1/64000
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-128000}=\frac{0}{-256000}
=0
$