(k-10)(k-10)=

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Solution for (k-10)(k-10)= equation: 


Simplifying
(k + -10)(k + -10) = 0

Reorder the terms:
(-10 + k)(k + -10) = 0

Reorder the terms:
(-10 + k)(-10 + k) = 0

Multiply (-10 + k) * (-10 + k)
(-10(-10 + k) + k(-10 + k)) = 0
((-10 * -10 + k * -10) + k(-10 + k)) = 0
((100 + -10k) + k(-10 + k)) = 0
(100 + -10k + (-10 * k + k * k)) = 0
(100 + -10k + (-10k + k2)) = 0

Combine like terms: -10k + -10k = -20k
(100 + -20k + k2) = 0

Solving
100 + -20k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(10 + -1k)(10 + -1k) = 0


Subproblem 1
Set the factor '(10 + -1k)' equal to zero and attempt to solve:

Simplifying
10 + -1k = 0

Solving
10 + -1k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 0 + -10
-1k = 0 + -10

Combine like terms: 0 + -10 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10

Subproblem 2
Set the factor '(10 + -1k)' equal to zero and attempt to solve:

Simplifying
10 + -1k = 0

Solving
10 + -1k = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 0 + -10
-1k = 0 + -10

Combine like terms: 0 + -10 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10
Solution
k = {10, 10}

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