c*c-8=-13c+6

Solution for c*c-8=-13c+6 equation:

Simplifying
c * c + -8 = -13c + 6

Multiply c * c
c2 + -8 = -13c + 6

Reorder the terms:
-8 + c2 = -13c + 6

Reorder the terms:
-8 + c2 = 6 + -13c

Solving
-8 + c2 = 6 + -13c

Solving for variable 'c'.

Reorder the terms:
-8 + -6 + 13c + c2 = 6 + -13c + -6 + 13c

Combine like terms: -8 + -6 = -14
-14 + 13c + c2 = 6 + -13c + -6 + 13c

Reorder the terms:
-14 + 13c + c2 = 6 + -6 + -13c + 13c

Combine like terms: 6 + -6 = 0
-14 + 13c + c2 = 0 + -13c + 13c
-14 + 13c + c2 = -13c + 13c

Combine like terms: -13c + 13c = 0
-14 + 13c + c2 = 0

Factor a trinomial.
(-14 + -1c)(1 + -1c) = 0

Subproblem 1
Set the factor '(-14 + -1c)' equal to zero and attempt to solve:

Simplifying
-14 + -1c = 0

Solving
-14 + -1c = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1c = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1c = 0 + 14
-1c = 0 + 14

Combine like terms: 0 + 14 = 14
-1c = 14

Divide each side by '-1'.
c = -14

Simplifying
c = -14
Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

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

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

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

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

Simplifying
c = 1
Solution
c = {-14, 1}