45c^5-63c^3+27c=0

Solution for 45c^5-63c^3+27c=0 equation:

Simplifying
45c5 + -63c3 + 27c = 0

Reorder the terms:
27c + -63c3 + 45c5 = 0

Solving
27c + -63c3 + 45c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '9c'.
9c(3 + -7c2 + 5c4) = 0

Ignore the factor 9.
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 '(3 + -7c2 + 5c4)' equal to zero and attempt to solve:

Simplifying
3 + -7c2 + 5c4 = 0

Solving
3 + -7c2 + 5c4 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.6 + -1.4c2 + c4 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -1.4c2 + -0.6 + c4 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -1.4c2 + c4 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.4c2 + c4 = 0 + -0.6
-1.4c2 + c4 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-1.4c2 + c4 = -0.6

The c term is -1.4c2.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4c2 + 0.49 + c4 = -0.6 + 0.49

Reorder the terms:
0.49 + -1.4c2 + c4 = -0.6 + 0.49

Combine like terms: -0.6 + 0.49 = -0.11
0.49 + -1.4c2 + c4 = -0.11

Factor a perfect square on the left side:
(c2 + -0.7)(c2 + -0.7) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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