3/2(x-2)^2-4=2

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Solution for 3/2(x-2)^2-4=2 equation: 


x in (-oo:+oo)

(3/2)*(x-2)^2-4 = 2 // - 2

(3/2)*(x-2)^2-4-2 = 0

3/2*(x-2)^2-4-2 = 0

3/2*(x-2)^2-4-2 = 0

3/2*x^2-6*x-2+2 = 0

3/2*x^2-6*x = 0

3/2*x^2-6*x = 0

3*x*(1/2*x-2) = 0

1/2*x-2 = 0 // + 2

1/2*x = 2 // : 1/2

x = 2/1/2

x = 4

3*x*(x-4) = 0

3*x*(x-4) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 0, 4 }

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