100/10x=15x

Solution for 100/10x=15x equation:

100/10x=15x

We move all terms to the left:

100/10x-(15x)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R


We add all the numbers together, and all the variables

-15x+100/10x=0

We multiply all the terms by the denominator


-15x*10x+100=0

Wy multiply elements

-150x^2+100=0

a = -150; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-150)·100
Δ = 60000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{60000}=\sqrt{10000*6}=\sqrt{10000}*\sqrt{6}=100\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{6}}{2*-150}=\frac{0-100\sqrt{6}}{-300}
=-\frac{100\sqrt{6}}{-300}
=-\frac{\sqrt{6}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{6}}{2*-150}=\frac{0+100\sqrt{6}}{-300}
=\frac{100\sqrt{6}}{-300}
=\frac{\sqrt{6}}{-3}
$