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x^2+6x+9=(16+x-3)(x-3)
We move all terms to the left:
x^2+6x+9-((16+x-3)(x-3))=0
We add all the numbers together, and all the variables
x^2+6x-((x+13)(x-3))+9=0
We multiply parentheses ..
x^2-((+x^2-3x+13x-39))+6x+9=0
We calculate terms in parentheses: -((+x^2-3x+13x-39)), so:We add all the numbers together, and all the variables
(+x^2-3x+13x-39)
We get rid of parentheses
x^2-3x+13x-39
We add all the numbers together, and all the variables
x^2+10x-39
Back to the equation:
-(x^2+10x-39)
x^2+6x-(x^2+10x-39)+9=0
We get rid of parentheses
x^2-x^2+6x-10x+39+9=0
We add all the numbers together, and all the variables
-4x+48=0
We move all terms containing x to the left, all other terms to the right
-4x=-48
x=-48/-4
x=+12
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