(2k-5)(k-5)=

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

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

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

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

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

Combine like terms: -5k + -10k = -15k
(25 + -15k + 2k2) = 0

Solving
25 + -15k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(5 + -2k)(5 + -1k) = 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 + -1k)' equal to zero and attempt to solve:

Simplifying
5 + -1k = 0

Solving
5 + -1k = 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 + -1k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 0 + -5
-1k = 0 + -5

Combine like terms: 0 + -5 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5
Solution
k = {2.5, 5}