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

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



(X-6)(X-6)=(X-5)(X-5)

We move all terms to the left:

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

We multiply parentheses ..

(+X^2-6X-6X+36)-((X-5)(X-5))=0



We calculate terms in parentheses: -((X-5)(X-5)), so:

(X-5)(X-5)

We multiply parentheses ..

(+X^2-5X-5X+25)

We get rid of parentheses

X^2-5X-5X+25

We add all the numbers together, and all the variables

X^2-10X+25

Back to the equation:

-(X^2-10X+25)



We get rid of parentheses

X^2-X^2-6X-6X+10X+36-25=0

We add all the numbers together, and all the variables

-2X+11=0

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

-2X=-11

X=-11/-2

X=5+1/2

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