(x^2/3)-(50x^2)-1000x=0

Solution for (x^2/3)-(50x^2)-1000x=0 equation:

(x^2/3)-(50x^2)-1000x=0

determiningTheFunctionDomain
-50x^2+(x^2/3)-1000x=0

We add all the numbers together, and all the variables

-50x^2-1000x+(x^2/3)=0

We get rid of parentheses

-50x^2+x^2/3-1000x=0

We multiply all the terms by the denominator


x^2-50x^2*3-1000x*3=0

Wy multiply elements

x^2-150x^2-3000x=0

We add all the numbers together, and all the variables

-149x^2-3000x=0

a = -149; b = -3000; c = 0;
Δ = b2-4ac
Δ = -30002-4·(-149)·0
Δ = 9000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9000000}=3000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3000)-3000}{2*-149}=\frac{0}{-298}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3000)+3000}{2*-149}=\frac{6000}{-298}
=-20+20/149
$