X(x-17)-18x=(x-3)(x-16)

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Solution for X(x-17)-18x=(x-3)(x-16) equation:



X(X-17)-18X=(X-3)(X-16)
We move all terms to the left:
X(X-17)-18X-((X-3)(X-16))=0
We add all the numbers together, and all the variables
-18X+X(X-17)-((X-3)(X-16))=0
We multiply parentheses
X^2-18X-17X-((X-3)(X-16))=0
We multiply parentheses ..
X^2-((+X^2-16X-3X+48))-18X-17X=0
We calculate terms in parentheses: -((+X^2-16X-3X+48)), so:
(+X^2-16X-3X+48)
We get rid of parentheses
X^2-16X-3X+48
We add all the numbers together, and all the variables
X^2-19X+48
Back to the equation:
-(X^2-19X+48)
We add all the numbers together, and all the variables
X^2-35X-(X^2-19X+48)=0
We get rid of parentheses
X^2-X^2-35X+19X-48=0
We add all the numbers together, and all the variables
-16X-48=0
We move all terms containing X to the left, all other terms to the right
-16X=48
X=48/-16
X=-3

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