25c^3+105c^5-100c=

Solution for 25c^3+105c^5-100c= equation:

Simplifying
25c3 + 105c5 + -100c = 0

Reorder the terms:
-100c + 25c3 + 105c5 = 0

Solving
-100c + 25c3 + 105c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c'.
5c(-20 + 5c2 + 21c4) = 0

Ignore the factor 5.
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 '(-20 + 5c2 + 21c4)' equal to zero and attempt to solve:

Simplifying
-20 + 5c2 + 21c4 = 0

Solving
-20 + 5c2 + 21c4 = 0

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

Divide each side by '21'.
-0.9523809524 + 0.2380952381c2 + c4 = 0

Move the constant term to the right:

Add '0.9523809524' to each side of the equation.
-0.9523809524 + 0.2380952381c2 + 0.9523809524 + c4 = 0 + 0.9523809524

Reorder the terms:
-0.9523809524 + 0.9523809524 + 0.2380952381c2 + c4 = 0 + 0.9523809524

Combine like terms: -0.9523809524 + 0.9523809524 = 0.0000000000
0.0000000000 + 0.2380952381c2 + c4 = 0 + 0.9523809524
0.2380952381c2 + c4 = 0 + 0.9523809524

Combine like terms: 0 + 0.9523809524 = 0.9523809524
0.2380952381c2 + c4 = 0.9523809524

The c term is 0.2380952381c2.  Take half its coefficient (0.1190476191).
Square it (0.01417233561) and add it to both sides.

Add '0.01417233561' to each side of the equation.
0.2380952381c2 + 0.01417233561 + c4 = 0.9523809524 + 0.01417233561

Reorder the terms:
0.01417233561 + 0.2380952381c2 + c4 = 0.9523809524 + 0.01417233561

Combine like terms: 0.9523809524 + 0.01417233561 = 0.96655328801
0.01417233561 + 0.2380952381c2 + c4 = 0.96655328801

Factor a perfect square on the left side:
(c2 + 0.1190476191)(c2 + 0.1190476191) = 0.96655328801

Calculate the square root of the right side: 0.98313442

Break this problem into two subproblems by setting 
(c2 + 0.1190476191) equal to 0.98313442 and -0.98313442.

Subproblem 1
c2 + 0.1190476191 = 0.98313442

Simplifying
c2 + 0.1190476191 = 0.98313442

Reorder the terms:
0.1190476191 + c2 = 0.98313442

Solving
0.1190476191 + c2 = 0.98313442

Solving for variable 'c'.

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

Add '-0.1190476191' to each side of the equation.
0.1190476191 + -0.1190476191 + c2 = 0.98313442 + -0.1190476191

Combine like terms: 0.1190476191 + -0.1190476191 = 0.0000000000
0.0000000000 + c2 = 0.98313442 + -0.1190476191
c2 = 0.98313442 + -0.1190476191

Combine like terms: 0.98313442 + -0.1190476191 = 0.8640868009
c2 = 0.8640868009

Simplifying
c2 = 0.8640868009

Take the square root of each side:
c = {-0.929562693, 0.929562693}

Subproblem 2
c2 + 0.1190476191 = -0.98313442

Simplifying
c2 + 0.1190476191 = -0.98313442

Reorder the terms:
0.1190476191 + c2 = -0.98313442

Solving
0.1190476191 + c2 = -0.98313442

Solving for variable 'c'.

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

Add '-0.1190476191' to each side of the equation.
0.1190476191 + -0.1190476191 + c2 = -0.98313442 + -0.1190476191

Combine like terms: 0.1190476191 + -0.1190476191 = 0.0000000000
0.0000000000 + c2 = -0.98313442 + -0.1190476191
c2 = -0.98313442 + -0.1190476191

Combine like terms: -0.98313442 + -0.1190476191 = -1.1021820391
c2 = -1.1021820391

Simplifying
c2 = -1.1021820391

Reorder the terms:
1.1021820391 + c2 = -1.1021820391 + 1.1021820391

Combine like terms: -1.1021820391 + 1.1021820391 = 0.0000000000
1.1021820391 + c2 = 0.0000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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