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you may use perfect square as shown below.

2y2+3y = -e-x+ex+5

2(y2+2(3/4)y + 9/16)-9/8 = -e-x+ex+5

2(y+3/4)2 = -e-x+ex+5

(y+3/4)2 = (-e-x+ex+5)/2

y+3/4 = +-((-e-x+ex+5)/2)1/2

y=+-((-e-x+ex+5)/2)1/2 -3/4

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Q: How can you make this function from implicit to explicit function is 2Y2 plus 3 y equals -e-x plus ex plus 5?
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