x2-20x+51=(x+17)(x-3)

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Solution for x2-20x+51=(x+17)(x-3) equation:



x2-20x+51=(x+17)(x-3)
We move all terms to the left:
x2-20x+51-((x+17)(x-3))=0
We add all the numbers together, and all the variables
x^2-20x-((x+17)(x-3))+51=0
We multiply parentheses ..
x^2-((+x^2-3x+17x-51))-20x+51=0
We calculate terms in parentheses: -((+x^2-3x+17x-51)), so:
(+x^2-3x+17x-51)
We get rid of parentheses
x^2-3x+17x-51
We add all the numbers together, and all the variables
x^2+14x-51
Back to the equation:
-(x^2+14x-51)
We add all the numbers together, and all the variables
x^2-20x-(x^2+14x-51)+51=0
We get rid of parentheses
x^2-x^2-20x-14x+51+51=0
We add all the numbers together, and all the variables
-34x+102=0
We move all terms containing x to the left, all other terms to the right
-34x=-102
x=-102/-34
x=+3

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