X(X-17)-18x=(x-5)(x+16)

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Solution for X(X-17)-18x=(x-5)(x+16) equation: 



X(X-17)-18X=(X-5)(X+16)

We move all terms to the left:

X(X-17)-18X-((X-5)(X+16))=0

We add all the numbers together, and all the variables

-18X+X(X-17)-((X-5)(X+16))=0

We multiply parentheses

X^2-18X-17X-((X-5)(X+16))=0

We multiply parentheses ..

X^2-((+X^2+16X-5X-80))-18X-17X=0



We calculate terms in parentheses: -((+X^2+16X-5X-80)), so:

(+X^2+16X-5X-80)

We get rid of parentheses

X^2+16X-5X-80

We add all the numbers together, and all the variables

X^2+11X-80

Back to the equation:

-(X^2+11X-80)



We add all the numbers together, and all the variables

X^2-35X-(X^2+11X-80)=0

We get rid of parentheses

X^2-X^2-35X-11X+80=0

We add all the numbers together, and all the variables

-46X+80=0

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

-46X=-80

X=-80/-46

X=1+17/23

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