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

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


D( x )

4*x-3 = 0

2*x+2 = 0

4*x-3 = 0

4*x-3 = 0

4*x-3 = 0 // + 3

4*x = 3 // : 4

x = 3/4

2*x+2 = 0

2*x+2 = 0

2*x+2 = 0 // - 2

2*x = -2 // : 2

x = -2/2

x = -1

x in (-oo:-1) U (-1:3/4) U (3/4:+oo)

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

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

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

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

6*x-16*x^2-4*x-1+12 = 0

2*x-16*x^2+11 = 0

2*x-16*x^2+11 = 0

2*x-16*x^2+11 = 0

DELTA = 2^2-(-16*4*11)

DELTA = 708

DELTA > 0

x = (708^(1/2)-2)/(-16*2) or x = (-708^(1/2)-2)/(-16*2)

x = (2*177^(1/2)-2)/(-32) or x = (-2*177^(1/2)-2)/(-32)

(x-((2*177^(1/2)-2)/(-32)))*(x-((-2*177^(1/2)-2)/(-32))) = 0

((x-((2*177^(1/2)-2)/(-32)))*(x-((-2*177^(1/2)-2)/(-32))))/((2*x+2)*(4*x-3)) = 0

((x-((2*177^(1/2)-2)/(-32)))*(x-((-2*177^(1/2)-2)/(-32))))/((2*x+2)*(4*x-3)) = 0 // * (2*x+2)*(4*x-3)

(x-((2*177^(1/2)-2)/(-32)))*(x-((-2*177^(1/2)-2)/(-32))) = 0

( x-((-2*177^(1/2)-2)/(-32)) )

x-((-2*177^(1/2)-2)/(-32)) = 0 // + (-2*177^(1/2)-2)/(-32)

x = (-2*177^(1/2)-2)/(-32)

( x-((2*177^(1/2)-2)/(-32)) )

x-((2*177^(1/2)-2)/(-32)) = 0 // + (2*177^(1/2)-2)/(-32)

x = (2*177^(1/2)-2)/(-32)

x in { (-2*177^(1/2)-2)/(-32), (2*177^(1/2)-2)/(-32) }

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