(2k+5)(2k+5)=

Solution for (2k+5)(2k+5)= equation:

Simplifying
(2k + 5)(2k + 5) = 0

Reorder the terms:
(5 + 2k)(2k + 5) = 0

Reorder the terms:
(5 + 2k)(5 + 2k) = 0

Multiply (5 + 2k) * (5 + 2k)
(5(5 + 2k) + 2k * (5 + 2k)) = 0
((5 * 5 + 2k * 5) + 2k * (5 + 2k)) = 0
((25 + 10k) + 2k * (5 + 2k)) = 0
(25 + 10k + (5 * 2k + 2k * 2k)) = 0
(25 + 10k + (10k + 4k2)) = 0

Combine like terms: 10k + 10k = 20k
(25 + 20k + 4k2) = 0

Solving
25 + 20k + 4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(5 + 2k)(5 + 2k) = 0

Subproblem 1
Set the factor '(5 + 2k)' equal to zero and attempt to solve:

Simplifying
5 + 2k = 0

Solving
5 + 2k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2k = 0 + -5
2k = 0 + -5

Combine like terms: 0 + -5 = -5
2k = -5

Divide each side by '2'.
k = -2.5

Simplifying
k = -2.5
Subproblem 2
Set the factor '(5 + 2k)' equal to zero and attempt to solve:

Simplifying
5 + 2k = 0

Solving
5 + 2k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2k = 0 + -5
2k = 0 + -5

Combine like terms: 0 + -5 = -5
2k = -5

Divide each side by '2'.
k = -2.5

Simplifying
k = -2.5
Solution
k = {-2.5, -2.5}