x^2/2-1=-7/4x

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Solution for x^2/2-1=-7/4x equation: 


x in (-oo:+oo)

(x^2)/2-1 = (-7/4)*x // - (-7/4)*x

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

(x^2)/2+(7/4)*x-1 = 0

1/2*x^2+7/4*x-1 = 0

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

DELTA = 81/16

DELTA > 0

x = ((81/16)^(1/2)-7/4)/(1/2*2) or x = (-(81/16)^(1/2)-7/4)/(1/2*2)

x = 1/2 or x = -4

x in { -4, 1/2 }

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