k^2-10k+2=2

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Solution for k^2-10k+2=2 equation: 


Simplifying
k2 + -10k + 2 = 2

Reorder the terms:
2 + -10k + k2 = 2

Add '-2' to each side of the equation.
2 + -10k + -2 + k2 = 2 + -2

Reorder the terms:
2 + -2 + -10k + k2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -10k + k2 = 2 + -2
-10k + k2 = 2 + -2

Combine like terms: 2 + -2 = 0
-10k + k2 = 0

Solving
-10k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-10 + k) = 0


Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

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

Simplifying
-10 + k = 0

Solving
-10 + k = 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 + k = 0 + 10

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

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

Simplifying
k = 10
Solution
k = {0, 10}

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