x(x-17)-18x=(x-13)(x+16)

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Solution for x(x-17)-18x=(x-13)(x+16) equation:



x(x-17)-18x=(x-13)(x+16)
We move all terms to the left:
x(x-17)-18x-((x-13)(x+16))=0
We add all the numbers together, and all the variables
-18x+x(x-17)-((x-13)(x+16))=0
We multiply parentheses
x^2-18x-17x-((x-13)(x+16))=0
We multiply parentheses ..
x^2-((+x^2+16x-13x-208))-18x-17x=0
We calculate terms in parentheses: -((+x^2+16x-13x-208)), so:
(+x^2+16x-13x-208)
We get rid of parentheses
x^2+16x-13x-208
We add all the numbers together, and all the variables
x^2+3x-208
Back to the equation:
-(x^2+3x-208)
We add all the numbers together, and all the variables
x^2-35x-(x^2+3x-208)=0
We get rid of parentheses
x^2-x^2-35x-3x+208=0
We add all the numbers together, and all the variables
-38x+208=0
We move all terms containing x to the left, all other terms to the right
-38x=-208
x=-208/-38
x=5+9/19

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