(y+18)/5y=2

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Solution for (y+18)/5y=2 equation:


y in (-oo:+oo)

y*((y+18)/5) = 2 // - 2

y*((y+18)/5)-2 = 0

(y*(y+18))/5-2 = 0

(y*(y+18))/5+(-2*5)/5 = 0

y*(y+18)-2*5 = 0

y^2+18*y-10 = 0

y^2+18*y-10 = 0

y^2+18*y-10 = 0

DELTA = 18^2-(-10*1*4)

DELTA = 364

DELTA > 0

y = (364^(1/2)-18)/(1*2) or y = (-364^(1/2)-18)/(1*2)

y = (2*91^(1/2)-18)/2 or y = (-2*91^(1/2)-18)/2

(y-((-2*91^(1/2)-18)/2))*(y-((2*91^(1/2)-18)/2)) = 0

((y-((-2*91^(1/2)-18)/2))*(y-((2*91^(1/2)-18)/2)))/5 = 0

((y-((-2*91^(1/2)-18)/2))*(y-((2*91^(1/2)-18)/2)))/5 = 0 // * 5

(y-((-2*91^(1/2)-18)/2))*(y-((2*91^(1/2)-18)/2)) = 0

( y-((-2*91^(1/2)-18)/2) )

y-((-2*91^(1/2)-18)/2) = 0 // + (-2*91^(1/2)-18)/2

y = (-2*91^(1/2)-18)/2

( y-((2*91^(1/2)-18)/2) )

y-((2*91^(1/2)-18)/2) = 0 // + (2*91^(1/2)-18)/2

y = (2*91^(1/2)-18)/2

y in { (-2*91^(1/2)-18)/2, (2*91^(1/2)-18)/2 }

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