50x-(x^2/10)=0

Solution for 50x-(x^2/10)=0 equation:

50x-(x^2/10)=0

We get rid of parentheses

-x^2/10+50x=0

We multiply all the terms by the denominator


-x^2+50x*10=0

We add all the numbers together, and all the variables

-1x^2+50x*10=0

Wy multiply elements

-1x^2+500x=0

a = -1; b = 500; c = 0;
Δ = b2-4ac
Δ = 5002-4·(-1)·0
Δ = 250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{250000}=500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(500)-500}{2*-1}=\frac{-1000}{-2}
=+500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(500)+500}{2*-1}=\frac{0}{-2}
=0
$