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

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


D( x )

4*x+2 = 0

2*x-1 = 0

4*x+2 = 0

4*x+2 = 0

4*x+2 = 0 // - 2

4*x = -2 // : 4

x = -2/4

x = -1/2

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:-1/2) U (-1/2:1/2) U (1/2:+oo)

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

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

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

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

6*x-16*x^2+1+4 = 0

6*x-16*x^2+5 = 0

6*x-16*x^2+5 = 0

6*x-16*x^2+5 = 0

DELTA = 6^2-(-16*4*5)

DELTA = 356

DELTA > 0

x = (356^(1/2)-6)/(-16*2) or x = (-356^(1/2)-6)/(-16*2)

x = (2*89^(1/2)-6)/(-32) or x = (-2*89^(1/2)-6)/(-32)

(x-((2*89^(1/2)-6)/(-32)))*(x-((-2*89^(1/2)-6)/(-32))) = 0

((x-((2*89^(1/2)-6)/(-32)))*(x-((-2*89^(1/2)-6)/(-32))))/((4*x+2)*(2*x-1)) = 0

((x-((2*89^(1/2)-6)/(-32)))*(x-((-2*89^(1/2)-6)/(-32))))/((4*x+2)*(2*x-1)) = 0 // * (4*x+2)*(2*x-1)

(x-((2*89^(1/2)-6)/(-32)))*(x-((-2*89^(1/2)-6)/(-32))) = 0

( x-((-2*89^(1/2)-6)/(-32)) )

x-((-2*89^(1/2)-6)/(-32)) = 0 // + (-2*89^(1/2)-6)/(-32)

x = (-2*89^(1/2)-6)/(-32)

( x-((2*89^(1/2)-6)/(-32)) )

x-((2*89^(1/2)-6)/(-32)) = 0 // + (2*89^(1/2)-6)/(-32)

x = (2*89^(1/2)-6)/(-32)

x in { (-2*89^(1/2)-6)/(-32), (2*89^(1/2)-6)/(-32) }

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