k^2-11k+30=30

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Solution for k^2-11k+30=30 equation: 


Simplifying
k2 + -11k + 30 = 30

Reorder the terms:
30 + -11k + k2 = 30

Add '-30' to each side of the equation.
30 + -11k + -30 + k2 = 30 + -30

Reorder the terms:
30 + -30 + -11k + k2 = 30 + -30

Combine like terms: 30 + -30 = 0
0 + -11k + k2 = 30 + -30
-11k + k2 = 30 + -30

Combine like terms: 30 + -30 = 0
-11k + k2 = 0

Solving
-11k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-11 + 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 '(-11 + k)' equal to zero and attempt to solve:

Simplifying
-11 + k = 0

Solving
-11 + k = 0

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

Add '11' to each side of the equation.
-11 + 11 + k = 0 + 11

Combine like terms: -11 + 11 = 0
0 + k = 0 + 11
k = 0 + 11

Combine like terms: 0 + 11 = 11
k = 11

Simplifying
k = 11
Solution
k = {0, 11}

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