k^2-2k-7=-7

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Solution for k^2-2k-7=-7 equation: 


Simplifying
k2 + -2k + -7 = -7

Reorder the terms:
-7 + -2k + k2 = -7

Add '7' to each side of the equation.
-7 + -2k + 7 + k2 = -7 + 7

Reorder the terms:
-7 + 7 + -2k + k2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + -2k + k2 = -7 + 7
-2k + k2 = -7 + 7

Combine like terms: -7 + 7 = 0
-2k + k2 = 0

Solving
-2k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-2 + 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 '(-2 + k)' equal to zero and attempt to solve:

Simplifying
-2 + k = 0

Solving
-2 + k = 0

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

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

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

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

Simplifying
k = 2
Solution
k = {0, 2}

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