(w^2-0.5z)(w^2+0.5z)=

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Solution for (w^2-0.5z)(w^2+0.5z)= equation: 


Simplifying
(w2 + -0.5z)(w2 + 0.5z) = 0

Multiply (w2 + -0.5z) * (w2 + 0.5z)
(w2(w2 + 0.5z) + -0.5z * (w2 + 0.5z)) = 0
((w2 * w2 + 0.5z * w2) + -0.5z * (w2 + 0.5z)) = 0

Reorder the terms:
((0.5w2z + w4) + -0.5z * (w2 + 0.5z)) = 0
((0.5w2z + w4) + -0.5z * (w2 + 0.5z)) = 0
(0.5w2z + w4 + (w2 * -0.5z + 0.5z * -0.5z)) = 0
(0.5w2z + w4 + (-0.5w2z + -0.25z2)) = 0

Reorder the terms:
(0.5w2z + -0.5w2z + w4 + -0.25z2) = 0

Combine like terms: 0.5w2z + -0.5w2z = 0.0
(0.0 + w4 + -0.25z2) = 0
(w4 + -0.25z2) = 0

Solving
w4 + -0.25z2 = 0

Solving for variable 'w'.

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

Add '0.25z2' to each side of the equation.
w4 + -0.25z2 + 0.25z2 = 0 + 0.25z2

Combine like terms: -0.25z2 + 0.25z2 = 0.00
w4 + 0.00 = 0 + 0.25z2
w4 = 0 + 0.25z2
Remove the zero:
w4 = 0.25z2

Simplifying
w4 = 0.25z2

Combine like terms: 0.25z2 + -0.25z2 = 0.00
w4 + -0.25z2 = 0.00

Factor a difference between two squares.
(w2 + 0.5z)(w2 + -0.5z) = 0.00


Subproblem 1
Set the factor '(w2 + 0.5z)' equal to zero and attempt to solve:

Simplifying
w2 + 0.5z = 0

Solving
w2 + 0.5z = 0

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

Add '-0.5z' to each side of the equation.
w2 + 0.5z + -0.5z = 0 + -0.5z

Combine like terms: 0.5z + -0.5z = 0.0
w2 + 0.0 = 0 + -0.5z
w2 = 0 + -0.5z
Remove the zero:
w2 = -0.5z

Simplifying
w2 = -0.5z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(w2 + -0.5z)' equal to zero and attempt to solve:

Simplifying
w2 + -0.5z = 0

Solving
w2 + -0.5z = 0

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

Add '0.5z' to each side of the equation.
w2 + -0.5z + 0.5z = 0 + 0.5z

Combine like terms: -0.5z + 0.5z = 0.0
w2 + 0.0 = 0 + 0.5z
w2 = 0 + 0.5z
Remove the zero:
w2 = 0.5z

Simplifying
w2 = 0.5z

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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