(3(x-4)2)=(3(x+2)/8)

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Solution for (3(x-4)2)=(3(x+2)/8) equation: 


x in (-oo:+oo)

3*(x-4)^2 = (3*(x+2))/8 // - (3*(x+2))/8

3*(x-4)^2-((3*(x+2))/8) = 0

3*(x-4)^2+(-3/8)*(x+2) = 0

3*(x-4)^2-3/8*(x+2) = 0

3*(x-4)^2-3/8*(x+2) = 0

3*x^2-195/8*x+189/4 = 0

3*x^2-195/8*x+189/4 = 0

3*(x^2-65/8*x+63/4) = 0

x^2-65/8*x+63/4 = 0

DELTA = (-65/8)^2-(1*4*63/4)

DELTA = 193/64

DELTA > 0

x = ((193/64)^(1/2)+65/8)/(1*2) or x = (65/8-(193/64)^(1/2))/(1*2)

x = ((193/64)^(1/2)+65/8)/2 or x = (65/8-(193/64)^(1/2))/2

3*(x-((65/8-(193/64)^(1/2))/2))*(x-(((193/64)^(1/2)+65/8)/2)) = 0

3*(x-((65/8-(193/64)^(1/2))/2))*(x-(((193/64)^(1/2)+65/8)/2)) = 0

( x-(((193/64)^(1/2)+65/8)/2) )

x-(((193/64)^(1/2)+65/8)/2) = 0 // + ((193/64)^(1/2)+65/8)/2

x = ((193/64)^(1/2)+65/8)/2

( x-((65/8-(193/64)^(1/2))/2) )

x-((65/8-(193/64)^(1/2))/2) = 0 // + (65/8-(193/64)^(1/2))/2

x = (65/8-(193/64)^(1/2))/2

x in { ((193/64)^(1/2)+65/8)/2, (65/8-(193/64)^(1/2))/2 }

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