(3x)/(4x+8)-(x+5)/(2x+4)=1

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Solution for (3x)/(4x+8)-(x+5)/(2x+4)=1 equation:


D( x )

2*x+4 = 0

4*x+8 = 0

2*x+4 = 0

2*x+4 = 0

2*x+4 = 0 // - 4

2*x = -4 // : 2

x = -4/2

x = -2

4*x+8 = 0

4*x+8 = 0

4*x+8 = 0 // - 8

4*x = -8 // : 4

x = -8/4

x = -2

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

(3*x)/(4*x+8)-((x+5)/(2*x+4)) = 1 // - 1

(3*x)/(4*x+8)-((x+5)/(2*x+4))-1 = 0

(3*x)/(4*x+8)+(-1*(x+5))/(2*x+4)-1 = 0

(3*x*(2*x+4))/((4*x+8)*(2*x+4))+(-1*(x+5)*(4*x+8))/((4*x+8)*(2*x+4))+(-1*(4*x+8)*(2*x+4))/((4*x+8)*(2*x+4)) = 0

3*x*(2*x+4)-1*(x+5)*(4*x+8)-1*(4*x+8)*(2*x+4) = 0

2*x^2-8*x^2-16*x-32*x-40-32 = 0

-6*x^2-48*x-72 = 0

-6*x^2-48*x-72 = 0

-6*(x^2+8*x+12) = 0

x^2+8*x+12 = 0

DELTA = 8^2-(1*4*12)

DELTA = 16

DELTA > 0

x = (16^(1/2)-8)/(1*2) or x = (-16^(1/2)-8)/(1*2)

x = -2 or x = -6

-6*(x+6)*(x+2) = 0

(-6*(x+6)*(x+2))/((4*x+8)*(2*x+4)) = 0

(-6*(x+6)*(x+2))/((4*x+8)*(2*x+4)) = 0 // * (4*x+8)*(2*x+4)

-6*(x+6)*(x+2) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+6 )

x+6 = 0 // - 6

x = -6

x in { -2}

x = -6

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