(11x+z)(11x-z)=0

Solution for (11x+z)(11x-z)=0 equation:

Simplifying
(11x + z)(11x + -1z) = 0

Multiply (11x + z) * (11x + -1z)
(11x * (11x + -1z) + z(11x + -1z)) = 0
((11x * 11x + -1z * 11x) + z(11x + -1z)) = 0

Reorder the terms:
((-11xz + 121x2) + z(11x + -1z)) = 0
((-11xz + 121x2) + z(11x + -1z)) = 0
(-11xz + 121x2 + (11x * z + -1z * z)) = 0
(-11xz + 121x2 + (11xz + -1z2)) = 0

Reorder the terms:
(-11xz + 11xz + 121x2 + -1z2) = 0

Combine like terms: -11xz + 11xz = 0
(0 + 121x2 + -1z2) = 0
(121x2 + -1z2) = 0

Solving
121x2 + -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.
121x2 + -1z2 + z2 = 0 + z2

Combine like terms: -1z2 + z2 = 0
121x2 + 0 = 0 + z2
121x2 = 0 + z2
Remove the zero:
121x2 = z2

Divide each side by '121'.
x2 = 0.008264462810z2

Simplifying
x2 = 0.008264462810z2

Take the square root of each side:
x = {-0.090909091z, 0.090909091z}