(6p+9)/(3p+7)=10/6

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Solution for (6p+9)/(3p+7)=10/6 equation: 



(6p+9)/(3p+7)=10/6

We move all terms to the left:

(6p+9)/(3p+7)-(10/6)=0



Domain of the equation: (3p+7)!=0

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

3p!=-7

p!=-7/3

p!=-2+1/3

p∈R



We add all the numbers together, and all the variables

(6p+9)/(3p+7)-(+10/6)=0

We get rid of parentheses

(6p+9)/(3p+7)-10/6=0

We calculate fractions


(36p+54)/(18p+42)+(-30p-70)/(18p+42)=0

We multiply all the terms by the denominator


(36p+54)+(-30p-70)=0

We get rid of parentheses

36p-30p+54-70=0

We add all the numbers together, and all the variables

6p-16=0

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

6p=16

p=16/6

p=2+2/3

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