X(5-X)-(6-X)x(6+x)=x(x+1)

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Solution for X(5-X)-(6-X)x(6+x)=x(x+1) equation: 



X(5-X)-(6-X)X(6+X)=X(X+1)

We move all terms to the left:

X(5-X)-(6-X)X(6+X)-(X(X+1))=0

We add all the numbers together, and all the variables

X(-1X+5)-(-1X+6)X(X+6)-(X(X+1))=0

We multiply parentheses

-1X^2+5X-(-1X+6)X(X+6)-(X(X+1))=0



We calculate terms in parentheses: -(X(X+1)), so:

X(X+1)

We multiply parentheses

X^2+X

Back to the equation:

-(X^2+X)



We get rid of parentheses

-1X^2-X^2+5X-(-1X+6)X(X+6)-X=0

We add all the numbers together, and all the variables

-2X^2+4X-(-1X+6)X(X+6)=0

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