2x(6x^2-29x^2-5)=0

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Solution for 2x(6x^2-29x^2-5)=0 equation: 


Simplifying
2x(6x2 + -29x2 + -5) = 0

Reorder the terms:
2x(-5 + 6x2 + -29x2) = 0

Combine like terms: 6x2 + -29x2 = -23x2
2x(-5 + -23x2) = 0
(-5 * 2x + -23x2 * 2x) = 0
(-10x + -46x3) = 0

Solving
-10x + -46x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(5 + 23x2) = 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 '(5 + 23x2)' equal to zero and attempt to solve:

Simplifying
5 + 23x2 = 0

Solving
5 + 23x2 = 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 + 23x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 23x2 = 0 + -5
23x2 = 0 + -5

Combine like terms: 0 + -5 = -5
23x2 = -5

Divide each side by '23'.
x2 = -0.2173913043

Simplifying
x2 = -0.2173913043

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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