4c^4(3c^2)=12c^8

Solution for 4c^4(3c^2)=12c^8 equation:

Simplifying
4c4(3c2) = 12c8

Remove parenthesis around (3c2)
4c4 * 3c2 = 12c8

Reorder the terms for easier multiplication:
4 * 3c4 * c2 = 12c8

Multiply 4 * 3
12c4 * c2 = 12c8

Multiply c4 * c2
12c6 = 12c8

Solving
12c6 = 12c8

Solving for variable 'c'.

Combine like terms: 12c8 + -12c8 = 0
12c6 + -12c8 = 0

Factor out the Greatest Common Factor (GCF), '12c6'.
12c6(1 + -1c2) = 0

Factor a difference between two squares.
12c6((1 + c)(1 + -1c)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'c6' equal to zero and attempt to solve:

Simplifying
c6 = 0

Solving
c6 = 0

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

Simplifying
c6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + c)' equal to zero and attempt to solve:

Simplifying
1 + c = 0

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

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

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

Simplifying
c = -1
Subproblem 3
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 = {-1, 1}