x^2=5/8x-3/32

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Solution for x^2=5/8x-3/32 equation: 


x in (-oo:+oo)

x^2 = (5/8)*x-(3/32) // - (5/8)*x-(3/32)

x^2-((5/8)*x)+3/32 = 0

x^2+(-5/8)*x+3/32 = 0

x^2-5/8*x+3/32 = 0

DELTA = (-5/8)^2-(3/32*1*4)

DELTA = 1/64

DELTA > 0

x = ((1/64)^(1/2)+5/8)/(1*2) or x = (5/8-(1/64)^(1/2))/(1*2)

x = 3/8 or x = 1/4

x in { 1/4, 3/8 }

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