4/((4/x)-7)+7

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Solution for 4/((4/x)-7)+7 equation:


D( x )

4/x-7 = 0

x = 0

4/x-7 = 0

4/x-7 = 0

4*x^-1 = 7 // : 4

x^-1 = 7/4

-1 < 0

1/(x^1) = 7/4 // * x^1

1 = 7/4*x^1 // : 7/4

4/7 = x^1

x = 4/7

x = 0

x = 0

x in (-oo:0) U (0:4/7) U (4/7:+oo)

4/(4/x-7)+7 = 0

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

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

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

28*x^-1-45 = 0

(28*x^-1-45)/(4*x^-1-7) = 0

(28*x^-1-45)/(4*x^-1-7) = 0 // * 4*x^-1-7

28*x^-1-45 = 0

28*x^-1 = 45 // : 28

x^-1 = 45/28

-1 < 0

1/(x^1) = 45/28 // * x^1

1 = 45/28*x^1 // : 45/28

28/45 = x^1

x = 28/45

x = 28/45

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