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(x-7)2=(x+5)(x-1)
We move all terms to the left:
(x-7)2-((x+5)(x-1))=0
We multiply parentheses
2x-((x+5)(x-1))-14=0
We multiply parentheses ..
-((+x^2-1x+5x-5))+2x-14=0
We calculate terms in parentheses: -((+x^2-1x+5x-5)), so:We add all the numbers together, and all the variables
(+x^2-1x+5x-5)
We get rid of parentheses
x^2-1x+5x-5
We add all the numbers together, and all the variables
x^2+4x-5
Back to the equation:
-(x^2+4x-5)
2x-(x^2+4x-5)-14=0
We get rid of parentheses
-x^2+2x-4x+5-14=0
We add all the numbers together, and all the variables
-1x^2-2x-9=0
a = -1; b = -2; c = -9;
Δ = b2-4ac
Δ = -22-4·(-1)·(-9)
Δ = -32
Delta is less than zero, so there is no solution for the equation
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