X*(x+10)=(x+4)*(x+5)

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Solution for X*(x+10)=(x+4)*(x+5) equation: 



X(X+10)=(X+4)(X+5)

We move all terms to the left:

X(X+10)-((X+4)(X+5))=0

We multiply parentheses

X^2+10X-((X+4)(X+5))=0

We multiply parentheses ..

X^2-((+X^2+5X+4X+20))+10X=0



We calculate terms in parentheses: -((+X^2+5X+4X+20)), so:

(+X^2+5X+4X+20)

We get rid of parentheses

X^2+5X+4X+20

We add all the numbers together, and all the variables

X^2+9X+20

Back to the equation:

-(X^2+9X+20)



We add all the numbers together, and all the variables

X^2+10X-(X^2+9X+20)=0

We get rid of parentheses

X^2-X^2+10X-9X-20=0

We add all the numbers together, and all the variables

X-20=0

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

X=20

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