1/(4-x)+1/(2+x)=3/4

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Solution for 1/(4-x)+1/(2+x)=3/4 equation: 


D( x )

x+2 = 0

4-x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

4-x = 0

4-x = 0

4-x = 0 // - 4

-x = -4 // * -1

x = 4

x in (-oo:-2) U (-2:4) U (4:+oo)

1/(4-x)+1/(x+2) = 3/4 // - 3/4

1/(4-x)+1/(x+2)-(3/4) = 0

1/(4-x)+1/(x+2)-3/4 = 0

(1*4*(x+2))/(4*(4-x)*(x+2))+(1*4*(4-x))/(4*(4-x)*(x+2))+(-3*(4-x)*(x+2))/(4*(4-x)*(x+2)) = 0

1*4*(x+2)+1*4*(4-x)-3*(4-x)*(x+2) = 0

3*x^2-6*x-24+24 = 0

3*x^2-6*x = 0

3*x^2-6*x = 0

3*x*(x-2) = 0

x-2 = 0 // + 2

x = 2

3*x*(x-2) = 0

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

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

3*x*(x-2) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 0, 2 }

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