(28x^3-24x)/4x^2

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Solution for (28x^3-24x)/4x^2 equation:


x in (-oo:+oo)

x^2*((28*x^3-(24*x))/4) = 0

x^2*((28*x^3-24*x)/4) = 0

(x^2*(28*x^3-24*x))/4 = 0

28*x^3-24*x = 0

4*x*(7*x^2-6) = 0

7*x^2 = 6 // : 7

x^2 = 6/7

x^2 = 6/7 // ^ 1/2

abs(x) = (6/7)^(1/2)

x = (6/7)^(1/2) or x = -(6/7)^(1/2)

4*x*(x-(6/7)^(1/2))*(x+(6/7)^(1/2)) = 0

(4*x*x^2*(x-(6/7)^(1/2))*(x+(6/7)^(1/2)))/4 = 0

( 4*x )

4*x = 0 // : 4

x = 0

( x+(6/7)^(1/2) )

x+(6/7)^(1/2) = 0 // - (6/7)^(1/2)

x = -(6/7)^(1/2)

( x-(6/7)^(1/2) )

x-(6/7)^(1/2) = 0 // + (6/7)^(1/2)

x = (6/7)^(1/2)

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0, -(6/7)^(1/2), (6/7)^(1/2), 0 }

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