7x^5+46x^3+24x=0

Solution for 7x^5+46x^3+24x=0 equation:

Simplifying
7x5 + 46x3 + 24x = 0

Reorder the terms:
24x + 46x3 + 7x5 = 0

Solving
24x + 46x3 + 7x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + 46x2 + 7x4) = 0

Factor a trinomial.
x((6 + x2)(4 + 7x2)) = 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 '(6 + x2)' equal to zero and attempt to solve:

Simplifying
6 + x2 = 0

Solving
6 + x2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x2 = 0 + -6
x2 = 0 + -6

Combine like terms: 0 + -6 = -6
x2 = -6

Simplifying
x2 = -6

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 '(4 + 7x2)' equal to zero and attempt to solve:

Simplifying
4 + 7x2 = 0

Solving
4 + 7x2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x2 = 0 + -4
7x2 = 0 + -4

Combine like terms: 0 + -4 = -4
7x2 = -4

Divide each side by '7'.
x2 = -0.5714285714

Simplifying
x2 = -0.5714285714

The solution to this equation could not be determined.

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