(y^2+5y-2)(y^2+7)-3(y^3-2y)=0

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Solution for (y^2+5y-2)(y^2+7)-3(y^3-2y)=0 equation:


Simplifying
(y2 + 5y + -2)(y2 + 7) + -3(y3 + -2y) = 0

Reorder the terms:
(-2 + 5y + y2)(y2 + 7) + -3(y3 + -2y) = 0

Reorder the terms:
(-2 + 5y + y2)(7 + y2) + -3(y3 + -2y) = 0

Multiply (-2 + 5y + y2) * (7 + y2)
(-2(7 + y2) + 5y * (7 + y2) + y2(7 + y2)) + -3(y3 + -2y) = 0
((7 * -2 + y2 * -2) + 5y * (7 + y2) + y2(7 + y2)) + -3(y3 + -2y) = 0
((-14 + -2y2) + 5y * (7 + y2) + y2(7 + y2)) + -3(y3 + -2y) = 0
(-14 + -2y2 + (7 * 5y + y2 * 5y) + y2(7 + y2)) + -3(y3 + -2y) = 0
(-14 + -2y2 + (35y + 5y3) + y2(7 + y2)) + -3(y3 + -2y) = 0
(-14 + -2y2 + 35y + 5y3 + (7 * y2 + y2 * y2)) + -3(y3 + -2y) = 0
(-14 + -2y2 + 35y + 5y3 + (7y2 + y4)) + -3(y3 + -2y) = 0

Reorder the terms:
(-14 + 35y + -2y2 + 7y2 + 5y3 + y4) + -3(y3 + -2y) = 0

Combine like terms: -2y2 + 7y2 = 5y2
(-14 + 35y + 5y2 + 5y3 + y4) + -3(y3 + -2y) = 0

Reorder the terms:
-14 + 35y + 5y2 + 5y3 + y4 + -3(-2y + y3) = 0
-14 + 35y + 5y2 + 5y3 + y4 + (-2y * -3 + y3 * -3) = 0
-14 + 35y + 5y2 + 5y3 + y4 + (6y + -3y3) = 0

Reorder the terms:
-14 + 35y + 6y + 5y2 + 5y3 + -3y3 + y4 = 0

Combine like terms: 35y + 6y = 41y
-14 + 41y + 5y2 + 5y3 + -3y3 + y4 = 0

Combine like terms: 5y3 + -3y3 = 2y3
-14 + 41y + 5y2 + 2y3 + y4 = 0

Solving
-14 + 41y + 5y2 + 2y3 + y4 = 0

Solving for variable 'y'.

The solution to this equation could not be determined.

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