144=12x+432/x

Solution for 144=12x+432/x equation:

144=12x+432/x

We move all terms to the left:

144-(12x+432/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+12x+432/x)+144=0

We get rid of parentheses

-12x-432/x+144=0

We multiply all the terms by the denominator


-12x*x+144*x-432=0

We add all the numbers together, and all the variables

144x-12x*x-432=0

Wy multiply elements

-12x^2+144x-432=0

a = -12; b = 144; c = -432;
Δ = b2-4ac
Δ = 1442-4·(-12)·(-432)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-144}{-24}=+6$