(Y+4)(2y-8)=0

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Solution for (Y+4)(2y-8)=0 equation:


Simplifying
(Y + 4)(2y + -8) = 0

Reorder the terms:
(4 + Y)(2y + -8) = 0

Reorder the terms:
(4 + Y)(-8 + 2y) = 0

Multiply (4 + Y) * (-8 + 2y)
(4(-8 + 2y) + Y(-8 + 2y)) = 0
((-8 * 4 + 2y * 4) + Y(-8 + 2y)) = 0
((-32 + 8y) + Y(-8 + 2y)) = 0
(-32 + 8y + (-8 * Y + 2y * Y)) = 0
(-32 + 8y + (-8Y + 2yY)) = 0

Reorder the terms:
(-32 + -8Y + 8y + 2yY) = 0
(-32 + -8Y + 8y + 2yY) = 0

Solving
-32 + -8Y + 8y + 2yY = 0

Solving for variable 'Y'.

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

Add '32' to each side of the equation.
-32 + -8Y + 8y + 32 + 2yY = 0 + 32

Reorder the terms:
-32 + 32 + -8Y + 8y + 2yY = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -8Y + 8y + 2yY = 0 + 32
-8Y + 8y + 2yY = 0 + 32

Combine like terms: 0 + 32 = 32
-8Y + 8y + 2yY = 32

Add '-8y' to each side of the equation.
-8Y + 8y + -8y + 2yY = 32 + -8y

Combine like terms: 8y + -8y = 0
-8Y + 0 + 2yY = 32 + -8y
-8Y + 2yY = 32 + -8y

Reorder the terms:
-32 + -8Y + 8y + 2yY = 32 + -8y + -32 + 8y

Reorder the terms:
-32 + -8Y + 8y + 2yY = 32 + -32 + -8y + 8y

Combine like terms: 32 + -32 = 0
-32 + -8Y + 8y + 2yY = 0 + -8y + 8y
-32 + -8Y + 8y + 2yY = -8y + 8y

Combine like terms: -8y + 8y = 0
-32 + -8Y + 8y + 2yY = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -4Y + 4y + yY) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-16 + -4Y + 4y + yY)' equal to zero and attempt to solve: Simplifying -16 + -4Y + 4y + yY = 0 Solving -16 + -4Y + 4y + yY = 0 Move all terms containing Y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -4Y + 4y + 16 + yY = 0 + 16 Reorder the terms: -16 + 16 + -4Y + 4y + yY = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4Y + 4y + yY = 0 + 16 -4Y + 4y + yY = 0 + 16 Combine like terms: 0 + 16 = 16 -4Y + 4y + yY = 16 Add '-4y' to each side of the equation. -4Y + 4y + -4y + yY = 16 + -4y Combine like terms: 4y + -4y = 0 -4Y + 0 + yY = 16 + -4y -4Y + yY = 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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