(32x^3-16x^2)/4x^2

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Solution for (32x^3-16x^2)/4x^2 equation:


x in (-oo:+oo)

x^2*((32*x^3-(16*x^2))/4) = 0

x^2*((32*x^3-16*x^2)/4) = 0

(x^2*(32*x^3-16*x^2))/4 = 0

32*x^3-16*x^2 = 0

16*x^2*(2*x-1) = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

16*x^2*(x-1/2) = 0

(16*x^2*x^2*(x-1/2))/4 = 0

( 16*x^2 )

16*x^2 = 0 // : 16

x^2 = 0

x = 0

( x-1/2 )

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

x = 1/2

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0, 1/2, 0 }

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