50x(2x-10)=3x

Solution for 50x(2x-10)=3x equation:

50x(2x-10)=3x

We move all terms to the left:

50x(2x-10)-(3x)=0

We add all the numbers together, and all the variables

-3x+50x(2x-10)=0

We multiply parentheses

100x^2-3x-500x=0

We add all the numbers together, and all the variables

100x^2-503x=0

a = 100; b = -503; c = 0;
Δ = b2-4ac
Δ = -5032-4·100·0
Δ = 253009
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{253009}=503$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-503)-503}{2*100}=\frac{0}{200}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-503)+503}{2*100}=\frac{1006}{200}
=5+3/100
$