((X/3)x0.03)=200

Solution for ((X/3)x0.03)=200 equation:

((X/3)X0.03)=200

We move all terms to the left:

((X/3)X0.03)-(200)=0


Domain of the equation: 3)X0.03)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

((+X/3)X0.03)-200=0

We multiply all the terms by the denominator


((+X-200*3)X0.03)=0


We calculate terms in parentheses: +((+X-200*3)X0.03), so:

(+X-200*3)X0.03

We add all the numbers together, and all the variables

(X-600)X0.03

We multiply parentheses

X^2-600X

Back to the equation:

+(X^2-600X)


We get rid of parentheses

X^2-600X=0

a = 1; b = -600; c = 0;
Δ = b2-4ac
Δ = -6002-4·1·0
Δ = 360000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{360000}=600$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-600)-600}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-600)+600}{2*1}=\frac{1200}{2}
=600
$