(-4/3)x+(4/9)=-x^2

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Solution for (-4/3)x+(4/9)=-x^2 equation: 


x in (-oo:+oo)

(-4/3)*x+4/9 = (-x)^2 // - (-x)^2

(-4/3)*x-(-x)^2+4/9 = 0

(-4/3)*x-x^2+4/9 = 0

4/9-x^2-4/3*x = 0

DELTA = (-4/3)^2-(-1*4/9*4)

DELTA = 32/9

DELTA > 0

x = ((32/9)^(1/2)+4/3)/(-1*2) or x = (4/3-(32/9)^(1/2))/(-1*2)

x = ((32/9)^(1/2)+4/3)/(-2) or x = (4/3-(32/9)^(1/2))/(-2)

x in { ((32/9)^(1/2)+4/3)/(-2), (4/3-(32/9)^(1/2))/(-2) }

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