3x^3-34x=

Solution for 3x^3-34x= equation:

Simplifying
3x3 + -34x = 0

Reorder the terms:
-34x + 3x3 = 0

Solving
-34x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-34 + 3x2) = 0

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 '(-34 + 3x2)' equal to zero and attempt to solve:

Simplifying
-34 + 3x2 = 0

Solving
-34 + 3x2 = 0

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

Add '34' to each side of the equation.
-34 + 34 + 3x2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 3x2 = 0 + 34
3x2 = 0 + 34

Combine like terms: 0 + 34 = 34
3x2 = 34

Divide each side by '3'.
x2 = 11.33333333

Simplifying
x2 = 11.33333333

Take the square root of each side:
x = {-3.366501646, 3.366501646}
Solution
x = {0, -3.366501646, 3.366501646}