(-1)/(6x^2)=7/12-5/(2x^2)

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Solution for (-1)/(6x^2)=7/12-5/(2x^2) equation: 


D( x )

6*x^2 = 0

2*x^2 = 0

6*x^2 = 0

6*x^2 = 0

6*x^2 = 0 // : 6

x^2 = 0

x = 0

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0 // : 2

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

-1/(6*x^2) = 7/12-(5/(2*x^2)) // - 7/12-(5/(2*x^2))

5/(2*x^2)-1/(6*x^2)-(7/12) = 0

5/(2*x^2)-1/(6*x^2)-7/12 = 0

7/3*x^-2 = 7/12 // : 7/3

x^-2 = 1/4

-2 < 0

1/(x^2) = 1/4 // * x^2

1 = 1/4*x^2 // : 1/4

4 = x^2

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in { 2, -2 }

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