0=(x-4)(x-4)

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Solution for 0=(x-4)(x-4) equation:



0=(x-4)(x-4)
We move all terms to the left:
0-((x-4)(x-4))=0
We add all the numbers together, and all the variables
-((x-4)(x-4))=0
We multiply parentheses ..
-((+x^2-4x-4x+16))=0
We calculate terms in parentheses: -((+x^2-4x-4x+16)), so:
(+x^2-4x-4x+16)
We get rid of parentheses
x^2-4x-4x+16
We add all the numbers together, and all the variables
x^2-8x+16
Back to the equation:
-(x^2-8x+16)
We get rid of parentheses
-x^2+8x-16=0
We add all the numbers together, and all the variables
-1x^2+8x-16=0
a = -1; b = 8; c = -16;
Δ = b2-4ac
Δ = 82-4·(-1)·(-16)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-8}{-2}=+4$

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