x^2=-7/8x

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Solution for x^2=-7/8x equation: 


x in (-oo:+oo)

x^2 = (-7/8)*x // - (-7/8)*x

x^2-((-7/8)*x) = 0

x^2+(7/8)*x = 0

x^2+7/8*x = 0

DELTA = (7/8)^2-(0*1*4)

DELTA = 49/64

DELTA > 0

x = ((49/64)^(1/2)-7/8)/(1*2) or x = (-(49/64)^(1/2)-7/8)/(1*2)

x = 0 or x = -7/8

x in { -7/8, 0 }

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