8x-56x^3=0

Solution for 8x-56x^3=0 equation:

Simplifying
8x + -56x3 = 0

Solving
8x + -56x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(1 + -7x2) = 0

Ignore the factor 8.
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 '(1 + -7x2)' equal to zero and attempt to solve:

Simplifying
1 + -7x2 = 0

Solving
1 + -7x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x2 = 0 + -1
-7x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-7x2 = -1

Divide each side by '-7'.
x2 = 0.1428571429

Simplifying
x2 = 0.1428571429

Take the square root of each side:
x = {-0.377964473, 0.377964473}
Solution
x = {0, -0.377964473, 0.377964473}