8c^2-4-31c=

Solution for 8c^2-4-31c= equation:

Simplifying
8c2 + -4 + -31c = 0

Reorder the terms:
-4 + -31c + 8c2 = 0

Solving
-4 + -31c + 8c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -8c)(4 + -1c) = 0

Subproblem 1
Set the factor '(-1 + -8c)' equal to zero and attempt to solve:

Simplifying
-1 + -8c = 0

Solving
-1 + -8c = 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 + -8c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8c = 0 + 1
-8c = 0 + 1

Combine like terms: 0 + 1 = 1
-8c = 1

Divide each side by '-8'.
c = -0.125

Simplifying
c = -0.125
Subproblem 2
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
Solution
c = {-0.125, 4}