c^2=11c+1-1

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Solution for c^2=11c+1-1 equation: 


Simplifying
c2 = 11c + 1 + -1

Reorder the terms:
c2 = 1 + -1 + 11c

Combine like terms: 1 + -1 = 0
c2 = 0 + 11c
c2 = 11c

Solving
c2 = 11c

Solving for variable 'c'.

Reorder the terms:
-11c + c2 = 11c + -11c

Combine like terms: 11c + -11c = 0
-11c + c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-11 + c) = 0


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

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(-11 + c)' equal to zero and attempt to solve:

Simplifying
-11 + c = 0

Solving
-11 + c = 0

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

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

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

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

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

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