x2-7x+10=(x-5)(x+2)

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Solution for x2-7x+10=(x-5)(x+2) equation:



x2-7x+10=(x-5)(x+2)
We move all terms to the left:
x2-7x+10-((x-5)(x+2))=0
We add all the numbers together, and all the variables
x^2-7x-((x-5)(x+2))+10=0
We multiply parentheses ..
x^2-((+x^2+2x-5x-10))-7x+10=0
We calculate terms in parentheses: -((+x^2+2x-5x-10)), so:
(+x^2+2x-5x-10)
We get rid of parentheses
x^2+2x-5x-10
We add all the numbers together, and all the variables
x^2-3x-10
Back to the equation:
-(x^2-3x-10)
We add all the numbers together, and all the variables
x^2-7x-(x^2-3x-10)+10=0
We get rid of parentheses
x^2-x^2-7x+3x+10+10=0
We add all the numbers together, and all the variables
-4x+20=0
We move all terms containing x to the left, all other terms to the right
-4x=-20
x=-20/-4
x=+5

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