c^2-7c-44=0

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Solution for c^2-7c-44=0 equation: 


Simplifying
c2 + -7c + -44 = 0

Reorder the terms:
-44 + -7c + c2 = 0

Solving
-44 + -7c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-4 + -1c)(11 + -1c) = 0


Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve:

Simplifying
-4 + -1c = 0

Solving
-4 + -1c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = 0 + 4
-1c = 0 + 4

Combine like terms: 0 + 4 = 4
-1c = 4

Divide each side by '-1'.
c = -4

Simplifying
c = -4

Subproblem 2
Set the factor '(11 + -1c)' equal to zero and attempt to solve:

Simplifying
11 + -1c = 0

Solving
11 + -1c = 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 + -1c = 0 + -11

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

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

Divide each side by '-1'.
c = 11

Simplifying
c = 11
Solution
c = {-4, 11}

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