(y^2-4w^2)(y^2-4w^2)=

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Solution for (y^2-4w^2)(y^2-4w^2)= equation: 


Simplifying
(y2 + -4w2)(y2 + -4w2) = 0

Reorder the terms:
(-4w2 + y2)(y2 + -4w2) = 0

Reorder the terms:
(-4w2 + y2)(-4w2 + y2) = 0

Multiply (-4w2 + y2) * (-4w2 + y2)
(-4w2 * (-4w2 + y2) + y2(-4w2 + y2)) = 0
((-4w2 * -4w2 + y2 * -4w2) + y2(-4w2 + y2)) = 0

Reorder the terms:
((-4w2y2 + 16w4) + y2(-4w2 + y2)) = 0
((-4w2y2 + 16w4) + y2(-4w2 + y2)) = 0
(-4w2y2 + 16w4 + (-4w2 * y2 + y2 * y2)) = 0
(-4w2y2 + 16w4 + (-4w2y2 + y4)) = 0

Reorder the terms:
(-4w2y2 + -4w2y2 + 16w4 + y4) = 0

Combine like terms: -4w2y2 + -4w2y2 = -8w2y2
(-8w2y2 + 16w4 + y4) = 0

Solving
-8w2y2 + 16w4 + y4 = 0

Solving for variable 'w'.

Factor a trinomial.
(4w2 + -1y2)(4w2 + -1y2) = 0

Factor a difference between two squares.
((2w + y)(2w + -1y))(4w2 + -1y2) = 0

Factor a difference between two squares.
((2w + y)(2w + -1y))(2w + y)(2w + -1y) = 0


Subproblem 1
Set the factor '(2w + y)' equal to zero and attempt to solve:

Simplifying
2w + y = 0

Solving
2w + y = 0

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

Add '-1y' to each side of the equation.
2w + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
2w + 0 = 0 + -1y
2w = 0 + -1y
Remove the zero:
2w = -1y

Divide each side by '2'.
w = -0.5y

Simplifying
w = -0.5y

Subproblem 2
Set the factor '(2w + -1y)' equal to zero and attempt to solve:

Simplifying
2w + -1y = 0

Solving
2w + -1y = 0

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

Add 'y' to each side of the equation.
2w + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2w + 0 = 0 + y
2w = 0 + y
Remove the zero:
2w = y

Divide each side by '2'.
w = 0.5y

Simplifying
w = 0.5y

Subproblem 3
Set the factor '(2w + y)' equal to zero and attempt to solve:

Simplifying
2w + y = 0

Solving
2w + y = 0

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

Add '-1y' to each side of the equation.
2w + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
2w + 0 = 0 + -1y
2w = 0 + -1y
Remove the zero:
2w = -1y

Divide each side by '2'.
w = -0.5y

Simplifying
w = -0.5y

Subproblem 4
Set the factor '(2w + -1y)' equal to zero and attempt to solve:

Simplifying
2w + -1y = 0

Solving
2w + -1y = 0

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

Add 'y' to each side of the equation.
2w + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2w + 0 = 0 + y
2w = 0 + y
Remove the zero:
2w = y

Divide each side by '2'.
w = 0.5y

Simplifying
w = 0.5y
Solution
w = {-0.5y, 0.5y, -0.5y, 0.5y}

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