6.605=x/((0.3-x)(0.4-x))

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Solution for 6.605=x/((0.3-x)(0.4-x)) equation: 


D( x )

(0.3-x)*(0.4-x) = 0

(0.3-x)*(0.4-x) = 0

(0.3-x)*(0.4-x) = 0

( 0.3-x )

0.3-x = 0 // - 0.3

-x = -0.3 // * -1

x = 0.3

( 0.4-x )

0.4-x = 0 // - 0.4

-x = -0.4 // * -1

x = 0.4

x in (-oo:0.3) U (0.3:0.4) U (0.4:+oo)

6.605 = x/((0.3-x)*(0.4-x)) // - x/((0.3-x)*(0.4-x))

6.605-(x/((0.3-x)*(0.4-x))) = 0

(-1*x)/((0.3-x)*(0.4-x))+6.605 = 0

(-1*x)/((0.3-x)*(0.4-x))+(6.605*(0.3-x)*(0.4-x))/((0.3-x)*(0.4-x)) = 0

6.605*(0.3-x)*(0.4-x)-1*x = 0

6.605*x^2-5.6235*x+0.7926 = 0

6.605*x^2-5.6235*x+0.7926 = 0

6.605*x^2-5.6235*x+0.7926 = 0

DELTA = (-5.6235)^2-(0.7926*4*6.605)

DELTA = 5.6235^2-20.940492

DELTA = 10.68326025

DELTA > 0

x = ((5.6235^2-20.940492)^(1/2)+5.6235)/(2*6.605) or x = (5.6235-(5.6235^2-20.940492)^(1/2))/(2*6.605)

x = 0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235) or x = 0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2))

(x-0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)))*(x-0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235)) = 0

((x-0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)))*(x-0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235)))/((0.3-x)*(0.4-x)) = 0

((x-0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)))*(x-0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235)))/((0.3-x)*(0.4-x)) = 0 // * (0.3-x)*(0.4-x)

(x-0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)))*(x-0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235)) = 0

( x-0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235) )

x-0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235) = 0 // + -0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235)

x = -(-0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235))

x = 0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235)

( x-0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)) )

x-0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)) = 0 // + -0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2))

x = -(-0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)))

x = 0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2))

x in { 0.07570023*((5.6235^2-20.940492)^(1/2)+5.6235), 0.07570023*(5.6235-(5.6235^2-20.940492)^(1/2)) }

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