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

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

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

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

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

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

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

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

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

Solving
-49y2 + 4z2 = 0

Solving for variable 'y'.

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

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

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

Divide each side by '-49'.
y2 = 0.08163265306z2

Simplifying
y2 = 0.08163265306z2

Take the square root of each side:
y = {-0.285714286z, 0.285714286z}