(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 = 0
(0 + 16x2 + -4z2) = 0
(16x2 + -4z2) = 0

Solving
16x2 + -4z2 = 0

Solving for variable 'x'.

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

Add '4z2' to each side of the equation.
16x2 + -4z2 + 4z2 = 0 + 4z2

Combine like terms: -4z2 + 4z2 = 0
16x2 + 0 = 0 + 4z2
16x2 = 0 + 4z2
Remove the zero:
16x2 = 4z2

Divide each side by '16'.
x2 = 0.25z2

Simplifying
x2 = 0.25z2

Take the square root of each side:
x = {-0.5z, 0.5z}

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