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

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

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

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

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

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

Reorder the terms:
((14yz + -4y2) + 7z * (-2y + 7z)) = 0
((14yz + -4y2) + 7z * (-2y + 7z)) = 0
(14yz + -4y2 + (-2y * 7z + 7z * 7z)) = 0
(14yz + -4y2 + (-14yz + 49z2)) = 0

Reorder the terms:
(14yz + -14yz + -4y2 + 49z2) = 0

Combine like terms: 14yz + -14yz = 0
(0 + -4y2 + 49z2) = 0
(-4y2 + 49z2) = 0

Solving
-4y2 + 49z2 = 0

Solving for variable 'y'.

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

Add '-49z2' to each side of the equation.
-4y2 + 49z2 + -49z2 = 0 + -49z2

Combine like terms: 49z2 + -49z2 = 0
-4y2 + 0 = 0 + -49z2
-4y2 = 0 + -49z2
Remove the zero:
-4y2 = -49z2

Divide each side by '-4'.
y2 = 12.25z2

Simplifying
y2 = 12.25z2

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