X/1200=3X/300y

Solution for X/1200=3X/300y equation:

X/1200=3X/300X

We move all terms to the left:

X/1200-(3X/300X)=0


Domain of the equation: 300X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X/1200-(+3X/300X)=0

We get rid of parentheses

X/1200-3X/300X=0

We calculate fractions


300X^2/360000X+(-3600X)/360000X=0

We multiply all the terms by the denominator


300X^2+(-3600X)=0

We get rid of parentheses

300X^2-3600X=0

a = 300; b = -3600; c = 0;
Δ = b2-4ac
Δ = -36002-4·300·0
Δ = 12960000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12960000}=3600$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3600)-3600}{2*300}=\frac{0}{600}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3600)+3600}{2*300}=\frac{7200}{600}
=12
$