-2c^2+13c-6=0

Solution for -2c^2+13c-6=0 equation:

Simplifying
-2c2 + 13c + -6 = 0

Reorder the terms:
-6 + 13c + -2c2 = 0

Solving
-6 + 13c + -2c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-6 + c)(1 + -2c) = 0

Subproblem 1
Set the factor '(-6 + c)' equal to zero and attempt to solve:

Simplifying
-6 + c = 0

Solving
-6 + c = 0

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

Add '6' to each side of the equation.
-6 + 6 + c = 0 + 6

Combine like terms: -6 + 6 = 0
0 + c = 0 + 6
c = 0 + 6

Combine like terms: 0 + 6 = 6
c = 6

Simplifying
c = 6
Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve:

Simplifying
1 + -2c = 0

Solving
1 + -2c = 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 + -2c = 0 + -1

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

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

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Solution
c = {6, 0.5}