x(x+9)=(x+1)(x+6)

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Solution for x(x+9)=(x+1)(x+6) equation: 



x(x+9)=(x+1)(x+6)

We move all terms to the left:

x(x+9)-((x+1)(x+6))=0

We multiply parentheses

x^2+9x-((x+1)(x+6))=0

We multiply parentheses ..

x^2-((+x^2+6x+x+6))+9x=0



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

(+x^2+6x+x+6)

We get rid of parentheses

x^2+6x+x+6

We add all the numbers together, and all the variables

x^2+7x+6

Back to the equation:

-(x^2+7x+6)



We add all the numbers together, and all the variables

x^2+9x-(x^2+7x+6)=0

We get rid of parentheses

x^2-x^2+9x-7x-6=0

We add all the numbers together, and all the variables

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

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