(k+5)(k-5)=

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

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

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

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

Multiply (5 + k) * (-5 + k)
(5(-5 + k) + k(-5 + k)) = 0
((-5 * 5 + k * 5) + k(-5 + k)) = 0
((-25 + 5k) + k(-5 + k)) = 0
(-25 + 5k + (-5 * k + k * k)) = 0
(-25 + 5k + (-5k + k2)) = 0

Combine like terms: 5k + -5k = 0
(-25 + 0 + k2) = 0
(-25 + k2) = 0

Solving
-25 + k2 = 0

Solving for variable 'k'.

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

Add '25' to each side of the equation.
-25 + 25 + k2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + k2 = 0 + 25
k2 = 0 + 25

Combine like terms: 0 + 25 = 25
k2 = 25

Simplifying
k2 = 25

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