(z+5)(z-5)=

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

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

Reorder the terms:
(5 + z)(z + -5) = 0

Reorder the terms:
(5 + z)(-5 + z) = 0

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

Combine like terms: 5z + -5z = 0
(-25 + 0 + z2) = 0
(-25 + z2) = 0

Solving
-25 + z2 = 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 + z2 = 0 + 25

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

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

Simplifying
z2 = 25

Take the square root of each side:
z = {-5, 5}