(7x+z)(7x-z)=

Solution for (7x+z)(7x-z)= equation:

Simplifying
(7x + z)(7x + -1z) = 0

Multiply (7x + z) * (7x + -1z)
(7x * (7x + -1z) + z(7x + -1z)) = 0
((7x * 7x + -1z * 7x) + z(7x + -1z)) = 0

Reorder the terms:
((-7xz + 49x2) + z(7x + -1z)) = 0
((-7xz + 49x2) + z(7x + -1z)) = 0
(-7xz + 49x2 + (7x * z + -1z * z)) = 0
(-7xz + 49x2 + (7xz + -1z2)) = 0

Reorder the terms:
(-7xz + 7xz + 49x2 + -1z2) = 0

Combine like terms: -7xz + 7xz = 0
(0 + 49x2 + -1z2) = 0
(49x2 + -1z2) = 0

Solving
49x2 + -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.
49x2 + -1z2 + z2 = 0 + z2

Combine like terms: -1z2 + z2 = 0
49x2 + 0 = 0 + z2
49x2 = 0 + z2
Remove the zero:
49x2 = z2

Divide each side by '49'.
x2 = 0.02040816327z2

Simplifying
x2 = 0.02040816327z2

Take the square root of each side:
x = {-0.142857143z, 0.142857143z}