(7x+14)/(x-7)=(2x)/(x+2)

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Solution for (7x+14)/(x-7)=(2x)/(x+2) equation:


D( x )

x-7 = 0

x+2 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:7) U (7:+oo)

(7*x+14)/(x-7) = (2*x)/(x+2) // - (2*x)/(x+2)

(7*x+14)/(x-7)-((2*x)/(x+2)) = 0

(7*x+14)/(x-7)-2*x*(x+2)^-1 = 0

(7*x+14)/(x-7)+(-2*x)/(x+2) = 0

((7*x+14)*(x+2))/((x-7)*(x+2))+(-2*x*(x-7))/((x-7)*(x+2)) = 0

(7*x+14)*(x+2)-2*x*(x-7) = 0

5*x^2+42*x+28 = 0

5*x^2+42*x+28 = 0

5*x^2+42*x+28 = 0

DELTA = 42^2-(4*5*28)

DELTA = 1204

DELTA > 0

x = (1204^(1/2)-42)/(2*5) or x = (-1204^(1/2)-42)/(2*5)

x = (2*301^(1/2)-42)/10 or x = (-2*301^(1/2)-42)/10

(x-((-2*301^(1/2)-42)/10))*(x-((2*301^(1/2)-42)/10)) = 0

((x-((-2*301^(1/2)-42)/10))*(x-((2*301^(1/2)-42)/10)))/((x-7)*(x+2)) = 0

((x-((-2*301^(1/2)-42)/10))*(x-((2*301^(1/2)-42)/10)))/((x-7)*(x+2)) = 0 // * (x-7)*(x+2)

(x-((-2*301^(1/2)-42)/10))*(x-((2*301^(1/2)-42)/10)) = 0

( x-((-2*301^(1/2)-42)/10) )

x-((-2*301^(1/2)-42)/10) = 0 // + (-2*301^(1/2)-42)/10

x = (-2*301^(1/2)-42)/10

( x-((2*301^(1/2)-42)/10) )

x-((2*301^(1/2)-42)/10) = 0 // + (2*301^(1/2)-42)/10

x = (2*301^(1/2)-42)/10

x in { (-2*301^(1/2)-42)/10, (2*301^(1/2)-42)/10 }

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