(Y^2-8)(5y^2-2y+9)=0

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Solution for (Y^2-8)(5y^2-2y+9)=0 equation: 


Simplifying
(Y2 + -8)(5y2 + -2y + 9) = 0

Reorder the terms:
(-8 + Y2)(5y2 + -2y + 9) = 0

Reorder the terms:
(-8 + Y2)(9 + -2y + 5y2) = 0

Multiply (-8 + Y2) * (9 + -2y + 5y2)
(-8(9 + -2y + 5y2) + Y2(9 + -2y + 5y2)) = 0
((9 * -8 + -2y * -8 + 5y2 * -8) + Y2(9 + -2y + 5y2)) = 0
((-72 + 16y + -40y2) + Y2(9 + -2y + 5y2)) = 0
(-72 + 16y + -40y2 + (9 * Y2 + -2y * Y2 + 5y2 * Y2)) = 0
(-72 + 16y + -40y2 + (9Y2 + -2yY2 + 5y2Y2)) = 0

Reorder the terms:
(-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2) = 0
(-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2) = 0

Solving
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '72' to each side of the equation.
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 72 + 5y2Y2 = 0 + 72

Reorder the terms:
-72 + 72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 0 + 72
9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 0 + 72

Combine like terms: 0 + 72 = 72
9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 72

Add '-16y' to each side of the equation.
9Y2 + 16y + -2yY2 + -40y2 + -16y + 5y2Y2 = 72 + -16y

Reorder the terms:
9Y2 + 16y + -16y + -2yY2 + -40y2 + 5y2Y2 = 72 + -16y

Combine like terms: 16y + -16y = 0
9Y2 + 0 + -2yY2 + -40y2 + 5y2Y2 = 72 + -16y
9Y2 + -2yY2 + -40y2 + 5y2Y2 = 72 + -16y

Add '40y2' to each side of the equation.
9Y2 + -2yY2 + -40y2 + 40y2 + 5y2Y2 = 72 + -16y + 40y2

Combine like terms: -40y2 + 40y2 = 0
9Y2 + -2yY2 + 0 + 5y2Y2 = 72 + -16y + 40y2
9Y2 + -2yY2 + 5y2Y2 = 72 + -16y + 40y2

Reorder the terms:
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 72 + -16y + 40y2 + -72 + 16y + -40y2

Reorder the terms:
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 72 + -72 + -16y + 16y + 40y2 + -40y2

Combine like terms: 72 + -72 = 0
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 0 + -16y + 16y + 40y2 + -40y2
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = -16y + 16y + 40y2 + -40y2

Combine like terms: -16y + 16y = 0
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 0 + 40y2 + -40y2
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 40y2 + -40y2

Combine like terms: 40y2 + -40y2 = 0
-72 + 9Y2 + 16y + -2yY2 + -40y2 + 5y2Y2 = 0

The solution to this equation could not be determined.

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