16x^7-38x^4-54x=

Solution for 16x^7-38x^4-54x= equation:

Simplifying
16x7 + -38x4 + -54x = 0

Reorder the terms:
-54x + -38x4 + 16x7 = 0

Solving
-54x + -38x4 + 16x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-27 + -19x3 + 8x6) = 0

Factor a trinomial.
2x((-1 + -1x3)(27 + -8x3)) = 0

Ignore the factor 2.
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 '(-1 + -1x3)' equal to zero and attempt to solve:

Simplifying
-1 + -1x3 = 0

Solving
-1 + -1x3 = 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 + -1x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x3 = 0 + 1
-1x3 = 0 + 1

Combine like terms: 0 + 1 = 1
-1x3 = 1

Divide each side by '-1'.
x3 = -1

Simplifying
x3 = -1

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 '(27 + -8x3)' equal to zero and attempt to solve:

Simplifying
27 + -8x3 = 0

Solving
27 + -8x3 = 0

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

Add '-27' to each side of the equation.
27 + -27 + -8x3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -8x3 = 0 + -27
-8x3 = 0 + -27

Combine like terms: 0 + -27 = -27
-8x3 = -27

Divide each side by '-8'.
x3 = 3.375

Simplifying
x3 = 3.375

The solution to this equation could not be determined.

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