2.25-2/x=3.6+4x

Solution for 2.25-2/x=3.6+4x equation:

2.25-2/x=3.6+4x

We move all terms to the left:

2.25-2/x-(3.6+4x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-2/x-(4x+3.6)+2.25=0

We get rid of parentheses

-2/x-4x-3.6+2.25=0

We multiply all the terms by the denominator


-4x*x-(3.6)*x+(2.25)*x-2=0

We multiply parentheses

-4x*x-3.6x+2.25x-2=0

Wy multiply elements

-4x^2-3.6x+2.25x-2=0

We add all the numbers together, and all the variables

-4x^2-1.35x-2=0

a = -4; b = -1.35; c = -2;
Δ = b2-4ac
Δ = -1.352-4·(-4)·(-2)
Δ = -30.1775
Delta is less than zero, so there is no solution for the equation