2x(210-2x^2)=0

Solution for 2x(210-2x^2)=0 equation:

Simplifying
2x(210 + -2x2) = 0
(210 * 2x + -2x2 * 2x) = 0
(420x + -4x3) = 0

Solving
420x + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(105 + -1x2) = 0

Ignore the factor 4.
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 '(105 + -1x2)' equal to zero and attempt to solve:

Simplifying
105 + -1x2 = 0

Solving
105 + -1x2 = 0

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

Add '-105' to each side of the equation.
105 + -105 + -1x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -1x2 = 0 + -105
-1x2 = 0 + -105

Combine like terms: 0 + -105 = -105
-1x2 = -105

Divide each side by '-1'.
x2 = 105

Simplifying
x2 = 105

Take the square root of each side:
x = {-10.246950766, 10.246950766}
Solution
x = {0, -10.246950766, 10.246950766}