2x/((4x^2)-8x+4)=6.7

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Solution for 2x/((4x^2)-8x+4)=6.7 equation: 


D( x )

4*x^2-(8*x)+4 = 0

4*x^2-(8*x)+4 = 0

4*x^2-(8*x)+4 = 0

4*x^2-8*x+4 = 0

4*x^2-8*x+4 = 0

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

DELTA = 0

x = 8/(2*4)

x = 1 or x = 1

x in (-oo:1) U (1:+oo)

(2*x)/(4*x^2-(8*x)+4) = 6.7 // - 6.7

(2*x)/(4*x^2-(8*x)+4)-6.7 = 0

(2*x)/(4*x^2-8*x+4)-6.7 = 0

4*x^2-8*x+4 = 0

4*x^2-8*x+4 = 0

4*(x^2-2*x+1) = 0

x^2-2*x+1 = 0

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

DELTA = 0

x = 2/(1*2)

x = 1 or x = 1

4*(x-1)^2 = 0

(2*x)/(4*(x-1)^2)-6.7 = 0

(2*x)/(4*(x-1)^2)+(-6.7*4*(x-1)^2)/(4*(x-1)^2) = 0

2*x-6.7*4*(x-1)^2 = 0

55.6*x-26.8*x^2-26.8 = 0

55.6*x-26.8*x^2-26.8 = 0

55.6*x-26.8*x^2-26.8 = 0

DELTA = 55.6^2-(-26.8*(-26.8)*4)

DELTA = 55.6^2-2872.96

DELTA = 218.4

DELTA > 0

x = ((55.6^2-2872.96)^(1/2)-55.6)/(-26.8*2) or x = (-(55.6^2-2872.96)^(1/2)-55.6)/(-26.8*2)

x = -0.01865672*((55.6^2-2872.96)^(1/2)-55.6) or x = 0.01865672*((55.6^2-2872.96)^(1/2)+55.6)

(x+0.01865672*((55.6^2-2872.96)^(1/2)-55.6))*(x-0.01865672*((55.6^2-2872.96)^(1/2)+55.6)) = 0

((x+0.01865672*((55.6^2-2872.96)^(1/2)-55.6))*(x-0.01865672*((55.6^2-2872.96)^(1/2)+55.6)))/(4*(x-1)^2) = 0

((x+0.01865672*((55.6^2-2872.96)^(1/2)-55.6))*(x-0.01865672*((55.6^2-2872.96)^(1/2)+55.6)))/(4*(x-1)^2) = 0 // * 4*(x-1)^2

(x+0.01865672*((55.6^2-2872.96)^(1/2)-55.6))*(x-0.01865672*((55.6^2-2872.96)^(1/2)+55.6)) = 0

( x+0.01865672*((55.6^2-2872.96)^(1/2)-55.6) )

x+0.01865672*((55.6^2-2872.96)^(1/2)-55.6) = 0 // - 0.01865672*((55.6^2-2872.96)^(1/2)-55.6)

x = -(0.01865672*((55.6^2-2872.96)^(1/2)-55.6))

x = -0.01865672*((55.6^2-2872.96)^(1/2)-55.6)

( x-0.01865672*((55.6^2-2872.96)^(1/2)+55.6) )

x-0.01865672*((55.6^2-2872.96)^(1/2)+55.6) = 0 // + -0.01865672*((55.6^2-2872.96)^(1/2)+55.6)

x = -(-0.01865672*((55.6^2-2872.96)^(1/2)+55.6))

x = 0.01865672*((55.6^2-2872.96)^(1/2)+55.6)

x in { -0.01865672*((55.6^2-2872.96)^(1/2)-55.6), 0.01865672*((55.6^2-2872.96)^(1/2)+55.6) }

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