C(2c^2-7c-4)=0

Solution for C(2c^2-7c-4)=0 equation:

Simplifying
C(2c2 + -7c + -4) = 0

Reorder the terms:
C(-4 + -7c + 2c2) = 0
(-4 * C + -7c * C + 2c2 * C) = 0
(-4C + -7cC + 2c2C) = 0

Solving
-4C + -7cC + 2c2C = 0

Solving for variable 'C'.

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

Factor out the Greatest Common Factor (GCF), 'C'.
C(-4 + -7c + 2c2) = 0

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

Subproblem 1
Set the factor 'C' equal to zero and attempt to solve:

Simplifying
C = 0

Solving
C = 0

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

Simplifying
C = 0
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

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

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

Simplifying
0 = 1 + 2c

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
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

Add 'c' to each side of the equation.
-1c + c = -4 + c

Combine like terms: -1c + c = 0
0 = -4 + c

Simplifying
0 = -4 + c

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
C = {0}