-40x^3+44x=4x^5

Solution for -40x^3+44x=4x^5 equation:

Simplifying
-40x3 + 44x = 4x5

Reorder the terms:
44x + -40x3 = 4x5

Solving
44x + -40x3 = 4x5

Solving for variable 'x'.

Combine like terms: 4x5 + -4x5 = 0
44x + -40x3 + -4x5 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(11 + -10x2 + -1x4) = 0

Factor a trinomial.
4x((1 + -1x2)(11 + x2)) = 0

Factor a difference between two squares.
4x(((1 + x)(1 + -1x))(11 + x2)) = 0

Ignore the factor 4.
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 '(11 + x2)' equal to zero and attempt to solve:

Simplifying
11 + x2 = 0

Solving
11 + x2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x2 = 0 + -11
x2 = 0 + -11

Combine like terms: 0 + -11 = -11
x2 = -11

Simplifying
x2 = -11

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 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 4
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, -1, 1}