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x^2-7x+10=(x-5)(x-4)
We move all terms to the left:
x^2-7x+10-((x-5)(x-4))=0
We multiply parentheses ..
x^2-((+x^2-4x-5x+20))-7x+10=0
We calculate terms in parentheses: -((+x^2-4x-5x+20)), so:We add all the numbers together, and all the variables
(+x^2-4x-5x+20)
We get rid of parentheses
x^2-4x-5x+20
We add all the numbers together, and all the variables
x^2-9x+20
Back to the equation:
-(x^2-9x+20)
x^2-7x-(x^2-9x+20)+10=0
We get rid of parentheses
x^2-x^2-7x+9x-20+10=0
We add all the numbers together, and all the variables
2x-10=0
We move all terms containing x to the left, all other terms to the right
2x=10
x=10/2
x=5
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