x2-4x+4=4x2-16x+16

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Solution for x2-4x+4=4x2-16x+16 equation:



x2-4x+4=4x^2-16x+16
We move all terms to the left:
x2-4x+4-(4x^2-16x+16)=0
We add all the numbers together, and all the variables
x^2-4x-(4x^2-16x+16)+4=0
We get rid of parentheses
x^2-4x^2-4x+16x-16+4=0
We add all the numbers together, and all the variables
-3x^2+12x-12=0
a = -3; b = 12; c = -12;
Δ = b2-4ac
Δ = 122-4·(-3)·(-12)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-12}{-6}=+2$

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