x^2=-1/2x^2+3/2x+3

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Solution for x^2=-1/2x^2+3/2x+3 equation:


x in (-oo:+oo)

x^2 = (-1/2)*x^2+(3/2)*x+3 // - (-1/2)*x^2+(3/2)*x+3

x^2-((-1/2)*x^2)-((3/2)*x)-3 = 0

x^2+(1/2)*x^2+(-3/2)*x-3 = 0

3/2*x^2-3/2*x-3 = 0

DELTA = (-3/2)^2-(-3*3/2*4)

DELTA = 81/4

DELTA > 0

x = ((81/4)^(1/2)+3/2)/(3/2*2) or x = (3/2-(81/4)^(1/2))/(3/2*2)

x = 2 or x = -1

x in { -1, 2 }

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