5x^4-210x^2=0

Solution for 5x^4-210x^2=0 equation:

Simplifying
5x4 + -210x2 = 0

Reorder the terms:
-210x2 + 5x4 = 0

Solving
-210x2 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-42 + x2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-42 + x2)' equal to zero and attempt to solve:

Simplifying
-42 + x2 = 0

Solving
-42 + x2 = 0

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

Add '42' to each side of the equation.
-42 + 42 + x2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + x2 = 0 + 42
x2 = 0 + 42

Combine like terms: 0 + 42 = 42
x2 = 42

Simplifying
x2 = 42

Take the square root of each side:
x = {-6.480740698, 6.480740698}
Solution
x = {0, -6.480740698, 6.480740698}