1/2x+2-3/2x=1.5x

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Solution for 1/2x+2-3/2x=1.5x equation: 



1/2x+2-3/2x=1.5x

We move all terms to the left:

1/2x+2-3/2x-(1.5x)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We add all the numbers together, and all the variables

1/2x-3/2x-(+1.5x)+2=0

We get rid of parentheses

1/2x-3/2x-1.5x+2=0

We multiply all the terms by the denominator


-(1.5x)*2x+2*2x+1-3=0

We add all the numbers together, and all the variables

-(+1.5x)*2x+2*2x+1-3=0

We add all the numbers together, and all the variables

-(+1.5x)*2x+2*2x-2=0

We multiply parentheses

-2x^2+2*2x-2=0

Wy multiply elements

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

a = -2; b = 4; c = -2;
Δ = b2-4ac
Δ = 42-4·(-2)·(-2)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-4}{-4}=1$

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