-8/2p-2+5/2p+2=9/4p^2-4

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Solution for -8/2p-2+5/2p+2=9/4p^2-4 equation: 


p in (-oo:+oo)

(-8/2)*p+(5/2)*p-2+2 = (9/4)*p^2-4 // - (9/4)*p^2-4

(-8/2)*p-((9/4)*p^2)+(5/2)*p-2+2+4 = 0

(-9/4)*p^2+(-8/2)*p+(5/2)*p-2+2+4 = 0

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

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

DELTA = 153/4

DELTA > 0

p = ((153/4)^(1/2)+3/2)/(-9/4*2) or p = (3/2-(153/4)^(1/2))/(-9/4*2)

p = -2/9*((153/4)^(1/2)+3/2) or p = -2/9*(3/2-(153/4)^(1/2))

p in { -2/9*((153/4)^(1/2)+3/2), -2/9*(3/2-(153/4)^(1/2)) }

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