(8x-z)(8x+z)=

Solution for (8x-z)(8x+z)= equation:

Simplifying
(8x + -1z)(8x + z) = 0

Multiply (8x + -1z) * (8x + z)
(8x * (8x + z) + -1z * (8x + z)) = 0
((8x * 8x + z * 8x) + -1z * (8x + z)) = 0

Reorder the terms:
((8xz + 64x2) + -1z * (8x + z)) = 0
((8xz + 64x2) + -1z * (8x + z)) = 0
(8xz + 64x2 + (8x * -1z + z * -1z)) = 0
(8xz + 64x2 + (-8xz + -1z2)) = 0

Reorder the terms:
(8xz + -8xz + 64x2 + -1z2) = 0

Combine like terms: 8xz + -8xz = 0
(0 + 64x2 + -1z2) = 0
(64x2 + -1z2) = 0

Solving
64x2 + -1z2 = 0

Solving for variable 'x'.

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

Add 'z2' to each side of the equation.
64x2 + -1z2 + z2 = 0 + z2

Combine like terms: -1z2 + z2 = 0
64x2 + 0 = 0 + z2
64x2 = 0 + z2
Remove the zero:
64x2 = z2

Divide each side by '64'.
x2 = 0.015625z2

Simplifying
x2 = 0.015625z2

Take the square root of each side:
x = {-0.125z, 0.125z}