x^3-43x=0

Solution for x^3-43x=0 equation:

Simplifying
x3 + -43x = 0

Reorder the terms:
-43x + x3 = 0

Solving
-43x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-43 + x2) = 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 '(-43 + x2)' equal to zero and attempt to solve:

Simplifying
-43 + x2 = 0

Solving
-43 + x2 = 0

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

Add '43' to each side of the equation.
-43 + 43 + x2 = 0 + 43

Combine like terms: -43 + 43 = 0
0 + x2 = 0 + 43
x2 = 0 + 43

Combine like terms: 0 + 43 = 43
x2 = 43

Simplifying
x2 = 43

Take the square root of each side:
x = {-6.557438524, 6.557438524}
Solution
x = {0, -6.557438524, 6.557438524}