75c^9-3c^7=

Solution for 75c^9-3c^7= equation:

Simplifying
75c9 + -3c7 = 0

Reorder the terms:
-3c7 + 75c9 = 0

Solving
-3c7 + 75c9 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c7'.
3c7(-1 + 25c2) = 0

Factor a difference between two squares.
3c7((1 + 5c)(-1 + 5c)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'c7' equal to zero and attempt to solve:

Simplifying
c7 = 0

Solving
c7 = 0

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

Simplifying
c7 = 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 + 5c)' equal to zero and attempt to solve:

Simplifying
1 + 5c = 0

Solving
1 + 5c = 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 + 5c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5c = 0 + -1
5c = 0 + -1

Combine like terms: 0 + -1 = -1
5c = -1

Divide each side by '5'.
c = -0.2

Simplifying
c = -0.2
Subproblem 3
Set the factor '(-1 + 5c)' equal to zero and attempt to solve:

Simplifying
-1 + 5c = 0

Solving
-1 + 5c = 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 + 5c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5c = 0 + 1
5c = 0 + 1

Combine like terms: 0 + 1 = 1
5c = 1

Divide each side by '5'.
c = 0.2

Simplifying
c = 0.2
Solution
c = {-0.2, 0.2}