28x^3+106x+28x=0

Solution for 28x^3+106x+28x=0 equation:

Simplifying
28x3 + 106x + 28x = 0

Reorder the terms:
106x + 28x + 28x3 = 0

Combine like terms: 106x + 28x = 134x
134x + 28x3 = 0

Solving
134x + 28x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(67 + 14x2) = 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 '(67 + 14x2)' equal to zero and attempt to solve:

Simplifying
67 + 14x2 = 0

Solving
67 + 14x2 = 0

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

Add '-67' to each side of the equation.
67 + -67 + 14x2 = 0 + -67

Combine like terms: 67 + -67 = 0
0 + 14x2 = 0 + -67
14x2 = 0 + -67

Combine like terms: 0 + -67 = -67
14x2 = -67

Divide each side by '14'.
x2 = -4.785714286

Simplifying
x2 = -4.785714286

The solution to this equation could not be determined.

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