200+1/12x=548-12/5x

Solution for 200+1/12x=548-12/5x equation:

200+1/12x=548-12/5x

We move all terms to the left:

200+1/12x-(548-12/5x)=0


Domain of the equation: 12x!=0

x!=0/12

x!=0

x∈R



Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

1/12x-(-12/5x+548)+200=0

We get rid of parentheses

1/12x+12/5x-548+200=0

We calculate fractions


5x/60x^2+144x/60x^2-548+200=0

We add all the numbers together, and all the variables

5x/60x^2+144x/60x^2-348=0

We multiply all the terms by the denominator


5x+144x-348*60x^2=0

We add all the numbers together, and all the variables

149x-348*60x^2=0

Wy multiply elements

-20880x^2+149x=0

a = -20880; b = 149; c = 0;
Δ = b2-4ac
Δ = 1492-4·(-20880)·0
Δ = 22201
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22201}=149$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(149)-149}{2*-20880}=\frac{-298}{-41760}
=149/20880
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(149)+149}{2*-20880}=\frac{0}{-41760}
=0
$