(7z+2x)(7z-2x)=0

Solution for (7z+2x)(7z-2x)=0 equation:

Simplifying
(7z + 2x)(7z + -2x) = 0

Reorder the terms:
(2x + 7z)(7z + -2x) = 0

Reorder the terms:
(2x + 7z)(-2x + 7z) = 0

Multiply (2x + 7z) * (-2x + 7z)
(2x * (-2x + 7z) + 7z * (-2x + 7z)) = 0
((-2x * 2x + 7z * 2x) + 7z * (-2x + 7z)) = 0

Reorder the terms:
((14xz + -4x2) + 7z * (-2x + 7z)) = 0
((14xz + -4x2) + 7z * (-2x + 7z)) = 0
(14xz + -4x2 + (-2x * 7z + 7z * 7z)) = 0
(14xz + -4x2 + (-14xz + 49z2)) = 0

Reorder the terms:
(14xz + -14xz + -4x2 + 49z2) = 0

Combine like terms: 14xz + -14xz = 0
(0 + -4x2 + 49z2) = 0
(-4x2 + 49z2) = 0

Solving
-4x2 + 49z2 = 0

Solving for variable 'x'.

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

Add '-49z2' to each side of the equation.
-4x2 + 49z2 + -49z2 = 0 + -49z2

Combine like terms: 49z2 + -49z2 = 0
-4x2 + 0 = 0 + -49z2
-4x2 = 0 + -49z2
Remove the zero:
-4x2 = -49z2

Divide each side by '-4'.
x2 = 12.25z2

Simplifying
x2 = 12.25z2

Take the square root of each side:
x = {-3.5z, 3.5z}