6/4x+9=2+3/2x

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Solution for 6/4x+9=2+3/2x equation: 



6/4x+9=2+3/2x

We move all terms to the left:

6/4x+9-(2+3/2x)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

6/4x-(3/2x+2)+9=0

We get rid of parentheses

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

We calculate fractions


12x/8x^2+(-12x)/8x^2-2+9=0

We add all the numbers together, and all the variables

12x/8x^2+(-12x)/8x^2+7=0

We multiply all the terms by the denominator


12x+(-12x)+7*8x^2=0

Wy multiply elements

56x^2+12x+(-12x)=0

We get rid of parentheses

56x^2+12x-12x=0

We add all the numbers together, and all the variables

56x^2=0

a = 56; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·56·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{112}=0$

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