X+100=15x*10x

Solution for X+100=15x*10x equation:

X+100=15X*10X

We move all terms to the left:

X+100-(15X*10X)=0

We add all the numbers together, and all the variables

X-(+15X*10X)+100=0

We get rid of parentheses

X-15X*10X+100=0

Wy multiply elements

-150X^2+X+100=0

a = -150; b = 1; c = +100;
Δ = b2-4ac
Δ = 12-4·(-150)·100
Δ = 60001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{60001}}{2*-150}=\frac{-1-\sqrt{60001}}{-300}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{60001}}{2*-150}=\frac{-1+\sqrt{60001}}{-300}
$