c^2-26c-56=0

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Solution for c^2-26c-56=0 equation: 


Simplifying
c2 + -26c + -56 = 0

Reorder the terms:
-56 + -26c + c2 = 0

Solving
-56 + -26c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-2 + -1c)(28 + -1c) = 0


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

Simplifying
-2 + -1c = 0

Solving
-2 + -1c = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1c = 0 + 2
-1c = 0 + 2

Combine like terms: 0 + 2 = 2
-1c = 2

Divide each side by '-1'.
c = -2

Simplifying
c = -2

Subproblem 2
Set the factor '(28 + -1c)' equal to zero and attempt to solve:

Simplifying
28 + -1c = 0

Solving
28 + -1c = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1c = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1c = 0 + -28
-1c = 0 + -28

Combine like terms: 0 + -28 = -28
-1c = -28

Divide each side by '-1'.
c = 28

Simplifying
c = 28
Solution
c = {-2, 28}

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