(x)/((3.4+x)(3-2x))=1.95

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Solution for (x)/((3.4+x)(3-2x))=1.95 equation: 


D( x )

(x+3.4)*(3-(2*x)) = 0

(x+3.4)*(3-(2*x)) = 0

(x+3.4)*(3-(2*x)) = 0

(x+3.4)*(3-2*x) = 0

( 3-2*x )

3-2*x = 0 // - 3

-2*x = -3 // : -2

x = -3/(-2)

x = 3/2

( x+3.4 )

x+3.4 = 0 // - 3.4

x = -3.4

x in (-oo:-3.4) U (-3.4:3/2) U (3/2:+oo)

x/((x+3.4)*(3-(2*x))) = 1.95 // - 1.95

x/((x+3.4)*(3-(2*x)))-1.95 = 0

x/((x+3.4)*(3-2*x))-1.95 = 0

x/((x+3.4)*(3-2*x))+(-1.95*(x+3.4)*(3-2*x))/((x+3.4)*(3-2*x)) = 0

x-1.95*(x+3.4)*(3-2*x) = 0

3.9*x^2+8.41*x-19.89 = 0

3.9*x^2+8.41*x-19.89 = 0

3.9*x^2+8.41*x-19.89 = 0

DELTA = 8.41^2-(-19.89*3.9*4)

DELTA = 8.41^2+310.284

DELTA = 381.0121

DELTA > 0

x = ((8.41^2+310.284)^(1/2)-8.41)/(2*3.9) or x = (-(8.41^2+310.284)^(1/2)-8.41)/(2*3.9)

x = 0.12820513*((8.41^2+310.284)^(1/2)-8.41) or x = -0.12820513*((8.41^2+310.284)^(1/2)+8.41)

(x+0.12820513*((8.41^2+310.284)^(1/2)+8.41))*(x-0.12820513*((8.41^2+310.284)^(1/2)-8.41)) = 0

((x+0.12820513*((8.41^2+310.284)^(1/2)+8.41))*(x-0.12820513*((8.41^2+310.284)^(1/2)-8.41)))/((x+3.4)*(3-2*x)) = 0

((x+0.12820513*((8.41^2+310.284)^(1/2)+8.41))*(x-0.12820513*((8.41^2+310.284)^(1/2)-8.41)))/((x+3.4)*(3-2*x)) = 0 // * (x+3.4)*(3-2*x)

(x+0.12820513*((8.41^2+310.284)^(1/2)+8.41))*(x-0.12820513*((8.41^2+310.284)^(1/2)-8.41)) = 0

( x+0.12820513*((8.41^2+310.284)^(1/2)+8.41) )

x+0.12820513*((8.41^2+310.284)^(1/2)+8.41) = 0 // - 0.12820513*((8.41^2+310.284)^(1/2)+8.41)

x = -(0.12820513*((8.41^2+310.284)^(1/2)+8.41))

x = -0.12820513*((8.41^2+310.284)^(1/2)+8.41)

( x-0.12820513*((8.41^2+310.284)^(1/2)-8.41) )

x-0.12820513*((8.41^2+310.284)^(1/2)-8.41) = 0 // + -0.12820513*((8.41^2+310.284)^(1/2)-8.41)

x = -(-0.12820513*((8.41^2+310.284)^(1/2)-8.41))

x = 0.12820513*((8.41^2+310.284)^(1/2)-8.41)

x in { -0.12820513*((8.41^2+310.284)^(1/2)+8.41), 0.12820513*((8.41^2+310.284)^(1/2)-8.41) }

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