6c^2-5c-4=

Solution for 6c^2-5c-4= equation:

Simplifying
6c2 + -5c + -4 = 0

Reorder the terms:
-4 + -5c + 6c2 = 0

Solving
-4 + -5c + 6c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -2c)(4 + -3c) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -3c)' equal to zero and attempt to solve:

Simplifying
4 + -3c = 0

Solving
4 + -3c = 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 + -3c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3c = 0 + -4
-3c = 0 + -4

Combine like terms: 0 + -4 = -4
-3c = -4

Divide each side by '-3'.
c = 1.333333333

Simplifying
c = 1.333333333
Solution
c = {-0.5, 1.333333333}