(x+9)*(x-17)=(x-5)*(x-10)

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Solution for (x+9)*(x-17)=(x-5)*(x-10) equation: 



(x+9)(x-17)=(x-5)(x-10)

We move all terms to the left:

(x+9)(x-17)-((x-5)(x-10))=0

We multiply parentheses ..

(+x^2-17x+9x-153)-((x-5)(x-10))=0



We calculate terms in parentheses: -((x-5)(x-10)), so:

(x-5)(x-10)

We multiply parentheses ..

(+x^2-10x-5x+50)

We get rid of parentheses

x^2-10x-5x+50

We add all the numbers together, and all the variables

x^2-15x+50

Back to the equation:

-(x^2-15x+50)



We get rid of parentheses

x^2-x^2-17x+9x+15x-153-50=0

We add all the numbers together, and all the variables

7x-203=0

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

7x=203

x=203/7

x=29

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