4x^5+184x^4+180x^3=

Solution for 4x^5+184x^4+180x^3= equation:

Simplifying
4x5 + 184x4 + 180x3 = 0

Reorder the terms:
180x3 + 184x4 + 4x5 = 0

Solving
180x3 + 184x4 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(45 + 46x + x2) = 0

Factor a trinomial.
4x3((45 + x)(1 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(45 + x)' equal to zero and attempt to solve:

Simplifying
45 + x = 0

Solving
45 + x = 0

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

Add '-45' to each side of the equation.
45 + -45 + x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + x = 0 + -45
x = 0 + -45

Combine like terms: 0 + -45 = -45
x = -45

Simplifying
x = -45
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
Solution
x = {-45, -1}