(4-2y^2)/7=2y

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Solution for (4-2y^2)/7=2y equation: 


y in (-oo:+oo)

(4-(2*y^2))/7 = 2*y // - 2*y

(4-(2*y^2))/7-(2*y) = 0

(4-2*y^2)/7-2*y = 0

(4-2*y^2)/7+(-2*7*y)/7 = 0

4-2*y^2-2*7*y = 0

4-2*y^2-14*y = 0

4-2*y^2-14*y = 0

2*(2-y^2-7*y) = 0

2-y^2-7*y = 0

DELTA = (-7)^2-(-1*2*4)

DELTA = 57

DELTA > 0

y = (57^(1/2)+7)/(-1*2) or y = (7-57^(1/2))/(-1*2)

y = (57^(1/2)+7)/(-2) or y = (7-57^(1/2))/(-2)

2*(y-((57^(1/2)+7)/(-2)))*(y-((7-57^(1/2))/(-2))) = 0

(2*(y-((57^(1/2)+7)/(-2)))*(y-((7-57^(1/2))/(-2))))/7 = 0

(2*(y-((57^(1/2)+7)/(-2)))*(y-((7-57^(1/2))/(-2))))/7 = 0 // * 7

2*(y-((57^(1/2)+7)/(-2)))*(y-((7-57^(1/2))/(-2))) = 0

( y-((57^(1/2)+7)/(-2)) )

y-((57^(1/2)+7)/(-2)) = 0 // + (57^(1/2)+7)/(-2)

y = (57^(1/2)+7)/(-2)

( y-((7-57^(1/2))/(-2)) )

y-((7-57^(1/2))/(-2)) = 0 // + (7-57^(1/2))/(-2)

y = (7-57^(1/2))/(-2)

y in { (57^(1/2)+7)/(-2), (7-57^(1/2))/(-2) }

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