(Y^2+3)(y^2-12)=0

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Solution for (Y^2+3)(y^2-12)=0 equation:


Simplifying
(Y2 + 3)(y2 + -12) = 0

Reorder the terms:
(3 + Y2)(y2 + -12) = 0

Reorder the terms:
(3 + Y2)(-12 + y2) = 0

Multiply (3 + Y2) * (-12 + y2)
(3(-12 + y2) + Y2(-12 + y2)) = 0
((-12 * 3 + y2 * 3) + Y2(-12 + y2)) = 0
((-36 + 3y2) + Y2(-12 + y2)) = 0
(-36 + 3y2 + (-12 * Y2 + y2 * Y2)) = 0
(-36 + 3y2 + (-12Y2 + y2Y2)) = 0

Reorder the terms:
(-36 + -12Y2 + 3y2 + y2Y2) = 0
(-36 + -12Y2 + 3y2 + y2Y2) = 0

Solving
-36 + -12Y2 + 3y2 + y2Y2 = 0

Solving for variable 'Y'.

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

Add '36' to each side of the equation.
-36 + -12Y2 + 3y2 + 36 + y2Y2 = 0 + 36

Reorder the terms:
-36 + 36 + -12Y2 + 3y2 + y2Y2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -12Y2 + 3y2 + y2Y2 = 0 + 36
-12Y2 + 3y2 + y2Y2 = 0 + 36

Combine like terms: 0 + 36 = 36
-12Y2 + 3y2 + y2Y2 = 36

Add '-3y2' to each side of the equation.
-12Y2 + 3y2 + -3y2 + y2Y2 = 36 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-12Y2 + 0 + y2Y2 = 36 + -3y2
-12Y2 + y2Y2 = 36 + -3y2

Reorder the terms:
-36 + -12Y2 + 3y2 + y2Y2 = 36 + -3y2 + -36 + 3y2

Reorder the terms:
-36 + -12Y2 + 3y2 + y2Y2 = 36 + -36 + -3y2 + 3y2

Combine like terms: 36 + -36 = 0
-36 + -12Y2 + 3y2 + y2Y2 = 0 + -3y2 + 3y2
-36 + -12Y2 + 3y2 + y2Y2 = -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
-36 + -12Y2 + 3y2 + y2Y2 = 0

The solution to this equation could not be determined.

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