X/9x=-4x

Solution for X/9x=-4x equation:

X/9X=-4X

We move all terms to the left:

X/9X-(-4X)=0


Domain of the equation: 9X!=0

X!=0/9

X!=0

X∈R


We get rid of parentheses

X/9X+4X=0

We multiply all the terms by the denominator


X+4X*9X=0

Wy multiply elements

36X^2+X=0

a = 36; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·36·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*36}=\frac{-2}{72}
=-1/36
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*36}=\frac{0}{72}
=0
$