10x=-50x/10x

Solution for 10x=-50x/10x equation:

10x=-50x/10x

We move all terms to the left:

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


Domain of the equation: 10x)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

10x+50x/10x=0

We multiply all the terms by the denominator


10x*10x+50x=0

We add all the numbers together, and all the variables

50x+10x*10x=0

Wy multiply elements

100x^2+50x=0

a = 100; b = 50; c = 0;
Δ = b2-4ac
Δ = 502-4·100·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-50}{2*100}=\frac{-100}{200}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+50}{2*100}=\frac{0}{200}
=0
$