(Y^2+4)(3y^2+y-10)=0

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Solution for (Y^2+4)(3y^2+y-10)=0 equation: 


Simplifying
(Y2 + 4)(3y2 + y + -10) = 0

Reorder the terms:
(4 + Y2)(3y2 + y + -10) = 0

Reorder the terms:
(4 + Y2)(-10 + y + 3y2) = 0

Multiply (4 + Y2) * (-10 + y + 3y2)
(4(-10 + y + 3y2) + Y2(-10 + y + 3y2)) = 0
((-10 * 4 + y * 4 + 3y2 * 4) + Y2(-10 + y + 3y2)) = 0
((-40 + 4y + 12y2) + Y2(-10 + y + 3y2)) = 0
(-40 + 4y + 12y2 + (-10 * Y2 + y * Y2 + 3y2 * Y2)) = 0
(-40 + 4y + 12y2 + (-10Y2 + yY2 + 3y2Y2)) = 0

Reorder the terms:
(-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2) = 0
(-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2) = 0

Solving
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 0

Solving for variable 'Y'.

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

Add '40' to each side of the equation.
-40 + -10Y2 + 4y + yY2 + 12y2 + 40 + 3y2Y2 = 0 + 40

Reorder the terms:
-40 + 40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 0 + 40
-10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 0 + 40

Combine like terms: 0 + 40 = 40
-10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 40

Add '-4y' to each side of the equation.
-10Y2 + 4y + yY2 + 12y2 + -4y + 3y2Y2 = 40 + -4y

Reorder the terms:
-10Y2 + 4y + -4y + yY2 + 12y2 + 3y2Y2 = 40 + -4y

Combine like terms: 4y + -4y = 0
-10Y2 + 0 + yY2 + 12y2 + 3y2Y2 = 40 + -4y
-10Y2 + yY2 + 12y2 + 3y2Y2 = 40 + -4y

Add '-12y2' to each side of the equation.
-10Y2 + yY2 + 12y2 + -12y2 + 3y2Y2 = 40 + -4y + -12y2

Combine like terms: 12y2 + -12y2 = 0
-10Y2 + yY2 + 0 + 3y2Y2 = 40 + -4y + -12y2
-10Y2 + yY2 + 3y2Y2 = 40 + -4y + -12y2

Reorder the terms:
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 40 + -4y + -12y2 + -40 + 4y + 12y2

Reorder the terms:
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 40 + -40 + -4y + 4y + -12y2 + 12y2

Combine like terms: 40 + -40 = 0
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 0 + -4y + 4y + -12y2 + 12y2
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = -4y + 4y + -12y2 + 12y2

Combine like terms: -4y + 4y = 0
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 0 + -12y2 + 12y2
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = -12y2 + 12y2

Combine like terms: -12y2 + 12y2 = 0
-40 + -10Y2 + 4y + yY2 + 12y2 + 3y2Y2 = 0

The solution to this equation could not be determined.

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