6x^3+10x+5x=0

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Solution for 6x^3+10x+5x=0 equation: 


Simplifying
6x3 + 10x + 5x = 0

Reorder the terms:
10x + 5x + 6x3 = 0

Combine like terms: 10x + 5x = 15x
15x + 6x3 = 0

Solving
15x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(5 + 2x2) = 0

Ignore the factor 3.

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 '(5 + 2x2)' equal to zero and attempt to solve:

Simplifying
5 + 2x2 = 0

Solving
5 + 2x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = 0 + -5
2x2 = 0 + -5

Combine like terms: 0 + -5 = -5
2x2 = -5

Divide each side by '2'.
x2 = -2.5

Simplifying
x2 = -2.5

The solution to this equation could not be determined.

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

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