1/2x+6=3/2(x=6)

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Solution for 1/2x+6=3/2(x=6) equation: 



1/2x+6=3/2(x=6)

We move all terms to the left:

1/2x+6-(3/2(x)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x+6!=0

We move all terms containing x to the left, all other terms to the right

2x!=-6

x!=-6/2

x!=-3

x∈R



We calculate fractions


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



We calculate terms in parentheses: +(-(3*2x)/(4x^2+6), so:

-(3*2x)/(4x^2+6

We add all the numbers together, and all the variables

-(+3*2x)/(4x^2+6

We multiply all the terms by the denominator


-(+3*2x)

We get rid of parentheses

-3*2x

Wy multiply elements

-6x

Back to the equation:

+(-6x)



We get rid of parentheses

(2x+6)/(4x^2+6)-6x=0

We multiply all the terms by the denominator


(2x+6)-6x*(4x^2+6)=0

We multiply parentheses

-24x^3+(2x+6)-36x=0

We get rid of parentheses

-24x^3+2x-36x+6=0

We do not support expression: x^3

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