-3/2x+4.5=2x+3

Solution for -3/2x+4.5=2x+3 equation:

-3/2x+4.5=2x+3

We move all terms to the left:

-3/2x+4.5-(2x+3)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We get rid of parentheses

-3/2x-2x-3+4.5=0

We multiply all the terms by the denominator


-2x*2x-3*2x+(4.5)*2x-3=0

We multiply parentheses

-2x*2x-3*2x+9x-3=0

Wy multiply elements

-4x^2-6x+9x-3=0

We add all the numbers together, and all the variables

-4x^2+3x-3=0

a = -4; b = 3; c = -3;
Δ = b2-4ac
Δ = 32-4·(-4)·(-3)
Δ = -39
Delta is less than zero, so there is no solution for the equation