396.9=(x)(X)/(0.35-2x)^2

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Solution for 396.9=(x)(X)/(0.35-2x)^2 equation: 


D( x )

(0.35-(2*x))^2 = 0

(0.35-(2*x))^2 = 0

(0.35-(2*x))^2 = 0

(0.35-2*x)^2 = 0

0.35-2*x = 0 // - 0.35

-2*x = -0.35 // : -2

x = -0.35/(-2)

x = 0.175

x in (-oo:0.175) U (0.175:+oo)

396.9 = (X*x)/((0.35-(2*x))^2) // - (X*x)/((0.35-(2*x))^2)

396.9-((X*x)/((0.35-(2*x))^2)) = 0

396.9-((X*x)/((0.35-2*x)^2)) = 0

(-1*X*x)/((0.35-2*x)^2)+396.9 = 0

(-1*X*x)/((0.35-2*x)^2)+(396.9*(0.35-2*x)^2)/((0.35-2*x)^2) = 0

396.9*(0.35-2*x)^2-1*X*x = 0

1587.6*x^2-(X*x)-555.66*x+48.62025 = 0

1587.6*x^2-(X*x)-555.66*x+48.62025 = 0

1587.6*x^2-555.66*x+48.62025 = 0

DELTA = (-555.66)^2-(4*48.62025*1587.6)

DELTA = 555.66^2-308758.0356

DELTA = 0

DELTA = 0

x = 555.66/(2*1587.6)

x = 0.175 or x = 0.175

(x-0.175)^2 = 0

((x-0.175)^2)/((0.35-2*x)^2) = 0

((x-0.175)^2)/((0.35-2*x)^2) = 0 // * (0.35-2*x)^2

(x-0.175)^2 = 0

x-0.175 = 0 // + 0.175

x = 0.175

x in { 0.175} 

x belongs to the empty set

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