12(7+5y/2)^2-5y=72

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Solution for 12(7+5y/2)^2-5y=72 equation: 


y in (-oo:+oo)

12*((5*y)/2+7)^2-(5*y) = 72 // - 72

12*((5*y)/2+7)^2-(5*y)-72 = 0

12*((5*y)/2+7)^2-5*y-72 = 0

12*(5/2*y+7)^2-5*y-72 = 0

12*(5/2*y+7)^2-5*y-72 = 0

75*y^2+415*y-72+588 = 0

75*y^2+415*y+516 = 0

75*y^2+415*y+516 = 0

75*y^2+415*y+516 = 0

DELTA = 415^2-(4*75*516)

DELTA = 17425

DELTA > 0

y = (17425^(1/2)-415)/(2*75) or y = (-17425^(1/2)-415)/(2*75)

y = (5*697^(1/2)-415)/150 or y = (-5*697^(1/2)-415)/150

(y-((-5*697^(1/2)-415)/150))*(y-((5*697^(1/2)-415)/150)) = 0

(y-((-5*697^(1/2)-415)/150))*(y-((5*697^(1/2)-415)/150)) = 0

( y-((-5*697^(1/2)-415)/150) )

y-((-5*697^(1/2)-415)/150) = 0 // + (-5*697^(1/2)-415)/150

y = (-5*697^(1/2)-415)/150

( y-((5*697^(1/2)-415)/150) )

y-((5*697^(1/2)-415)/150) = 0 // + (5*697^(1/2)-415)/150

y = (5*697^(1/2)-415)/150

y in { (-5*697^(1/2)-415)/150, (5*697^(1/2)-415)/150 }

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