X*3x/2x=900

Solution for X*3x/2x=900 equation:

X*3X/2X=900

We move all terms to the left:

X*3X/2X-(900)=0


Domain of the equation: 2X!=0

X!=0/2

X!=0

X∈R


We multiply all the terms by the denominator


X*3X-900*2X=0

Wy multiply elements

3X^2-1800X=0

a = 3; b = -1800; c = 0;
Δ = b2-4ac
Δ = -18002-4·3·0
Δ = 3240000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3240000}=1800$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1800)-1800}{2*3}=\frac{0}{6}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1800)+1800}{2*3}=\frac{3600}{6}
=600
$