10x^6+140x^5+330x^4=0

Solution for 10x^6+140x^5+330x^4=0 equation:

Simplifying
10x6 + 140x5 + 330x4 = 0

Reorder the terms:
330x4 + 140x5 + 10x6 = 0

Solving
330x4 + 140x5 + 10x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x4'.
10x4(33 + 14x + x2) = 0

Factor a trinomial.
10x4((11 + x)(3 + x)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 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 '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 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 + x = 0 + -11

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

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

Simplifying
x = -11
Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-11, -3}