(Y^2-4)(9y-36)=0

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Solution for (Y^2-4)(9y-36)=0 equation:


Simplifying
(Y2 + -4)(9y + -36) = 0

Reorder the terms:
(-4 + Y2)(9y + -36) = 0

Reorder the terms:
(-4 + Y2)(-36 + 9y) = 0

Multiply (-4 + Y2) * (-36 + 9y)
(-4(-36 + 9y) + Y2(-36 + 9y)) = 0
((-36 * -4 + 9y * -4) + Y2(-36 + 9y)) = 0
((144 + -36y) + Y2(-36 + 9y)) = 0
(144 + -36y + (-36 * Y2 + 9y * Y2)) = 0
(144 + -36y + (-36Y2 + 9yY2)) = 0

Reorder the terms:
(144 + -36Y2 + -36y + 9yY2) = 0
(144 + -36Y2 + -36y + 9yY2) = 0

Solving
144 + -36Y2 + -36y + 9yY2 = 0

Solving for variable 'Y'.

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

Add '-144' to each side of the equation.
144 + -36Y2 + -36y + -144 + 9yY2 = 0 + -144

Reorder the terms:
144 + -144 + -36Y2 + -36y + 9yY2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -36Y2 + -36y + 9yY2 = 0 + -144
-36Y2 + -36y + 9yY2 = 0 + -144

Combine like terms: 0 + -144 = -144
-36Y2 + -36y + 9yY2 = -144

Add '36y' to each side of the equation.
-36Y2 + -36y + 36y + 9yY2 = -144 + 36y

Combine like terms: -36y + 36y = 0
-36Y2 + 0 + 9yY2 = -144 + 36y
-36Y2 + 9yY2 = -144 + 36y

Reorder the terms:
144 + -36Y2 + -36y + 9yY2 = -144 + 36y + 144 + -36y

Reorder the terms:
144 + -36Y2 + -36y + 9yY2 = -144 + 144 + 36y + -36y

Combine like terms: -144 + 144 = 0
144 + -36Y2 + -36y + 9yY2 = 0 + 36y + -36y
144 + -36Y2 + -36y + 9yY2 = 36y + -36y

Combine like terms: 36y + -36y = 0
144 + -36Y2 + -36y + 9yY2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(16 + -4Y2 + -4y + yY2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(16 + -4Y2 + -4y + yY2)' equal to zero and attempt to solve: Simplifying 16 + -4Y2 + -4y + yY2 = 0 Solving 16 + -4Y2 + -4y + yY2 = 0 Move all terms containing Y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4Y2 + -4y + -16 + yY2 = 0 + -16 Reorder the terms: 16 + -16 + -4Y2 + -4y + yY2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4Y2 + -4y + yY2 = 0 + -16 -4Y2 + -4y + yY2 = 0 + -16 Combine like terms: 0 + -16 = -16 -4Y2 + -4y + yY2 = -16 Add '4y' to each side of the equation. -4Y2 + -4y + 4y + yY2 = -16 + 4y Combine like terms: -4y + 4y = 0 -4Y2 + 0 + yY2 = -16 + 4y -4Y2 + yY2 = -16 + 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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