(5-4z)(5+4z)=

Solution for (5-4z)(5+4z)= equation:

Simplifying
(5 + -4z)(5 + 4z) = 0

Multiply (5 + -4z) * (5 + 4z)
(5(5 + 4z) + -4z * (5 + 4z)) = 0
((5 * 5 + 4z * 5) + -4z * (5 + 4z)) = 0
((25 + 20z) + -4z * (5 + 4z)) = 0
(25 + 20z + (5 * -4z + 4z * -4z)) = 0
(25 + 20z + (-20z + -16z2)) = 0

Combine like terms: 20z + -20z = 0
(25 + 0 + -16z2) = 0
(25 + -16z2) = 0

Solving
25 + -16z2 = 0

Solving for variable 'z'.

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

Add '-25' to each side of the equation.
25 + -25 + -16z2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -16z2 = 0 + -25
-16z2 = 0 + -25

Combine like terms: 0 + -25 = -25
-16z2 = -25

Divide each side by '-16'.
z2 = 1.5625

Simplifying
z2 = 1.5625

Take the square root of each side:
z = {-1.25, 1.25}