(4x-2z)(4x-2z)=

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Solution for (4x-2z)(4x-2z)= equation: 


Simplifying
(4x + -2z)(4x + -2z) = 0

Multiply (4x + -2z) * (4x + -2z)
(4x * (4x + -2z) + -2z * (4x + -2z)) = 0
((4x * 4x + -2z * 4x) + -2z * (4x + -2z)) = 0

Reorder the terms:
((-8xz + 16x2) + -2z * (4x + -2z)) = 0
((-8xz + 16x2) + -2z * (4x + -2z)) = 0
(-8xz + 16x2 + (4x * -2z + -2z * -2z)) = 0
(-8xz + 16x2 + (-8xz + 4z2)) = 0

Reorder the terms:
(-8xz + -8xz + 16x2 + 4z2) = 0

Combine like terms: -8xz + -8xz = -16xz
(-16xz + 16x2 + 4z2) = 0

Solving
-16xz + 16x2 + 4z2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4xz + 4x2 + z2) = 0

Factor a trinomial.
4((2x + -1z)(2x + -1z)) = 0

Ignore the factor 4.

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

Simplifying
2x + -1z = 0

Solving
2x + -1z = 0

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

Add 'z' to each side of the equation.
2x + -1z + z = 0 + z

Combine like terms: -1z + z = 0
2x + 0 = 0 + z
2x = 0 + z
Remove the zero:
2x = z

Divide each side by '2'.
x = 0.5z

Simplifying
x = 0.5z

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

Simplifying
2x + -1z = 0

Solving
2x + -1z = 0

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

Add 'z' to each side of the equation.
2x + -1z + z = 0 + z

Combine like terms: -1z + z = 0
2x + 0 = 0 + z
2x = 0 + z
Remove the zero:
2x = z

Divide each side by '2'.
x = 0.5z

Simplifying
x = 0.5z
Solution
x = {0.5z, 0.5z}

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