5x^5+36x^3+7x=0

Solution for 5x^5+36x^3+7x=0 equation:

Simplifying
5x5 + 36x3 + 7x = 0

Reorder the terms:
7x + 36x3 + 5x5 = 0

Solving
7x + 36x3 + 5x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 36x2 + 5x4) = 0

Factor a trinomial.
x((7 + x2)(1 + 5x2)) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(7 + x2)' equal to zero and attempt to solve:

Simplifying
7 + x2 = 0

Solving
7 + x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x2 = 0 + -7
x2 = 0 + -7

Combine like terms: 0 + -7 = -7
x2 = -7

Simplifying
x2 = -7

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 '(1 + 5x2)' equal to zero and attempt to solve:

Simplifying
1 + 5x2 = 0

Solving
1 + 5x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x2 = 0 + -1
5x2 = 0 + -1

Combine like terms: 0 + -1 = -1
5x2 = -1

Divide each side by '5'.
x2 = -0.2

Simplifying
x2 = -0.2

The solution to this equation could not be determined.

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