(4-7z)(4+7z)=

Solution for (4-7z)(4+7z)= equation:

Simplifying
(4 + -7z)(4 + 7z) = 0

Multiply (4 + -7z) * (4 + 7z)
(4(4 + 7z) + -7z * (4 + 7z)) = 0
((4 * 4 + 7z * 4) + -7z * (4 + 7z)) = 0
((16 + 28z) + -7z * (4 + 7z)) = 0
(16 + 28z + (4 * -7z + 7z * -7z)) = 0
(16 + 28z + (-28z + -49z2)) = 0

Combine like terms: 28z + -28z = 0
(16 + 0 + -49z2) = 0
(16 + -49z2) = 0

Solving
16 + -49z2 = 0

Solving for variable 'z'.

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

Add '-16' to each side of the equation.
16 + -16 + -49z2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -49z2 = 0 + -16
-49z2 = 0 + -16

Combine like terms: 0 + -16 = -16
-49z2 = -16

Divide each side by '-49'.
z2 = 0.3265306122

Simplifying
z2 = 0.3265306122

Take the square root of each side:
z = {-0.571428571, 0.571428571}