4x^4=12x^2

Solution for 4x^4=12x^2 equation:

Simplifying
4x4 = 12x2

Solving
4x4 = 12x2

Solving for variable 'x'.

Reorder the terms:
-12x2 + 4x4 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-12x2 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-3 + x2) = 0

Ignore the factor 4.
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 '(-3 + x2)' equal to zero and attempt to solve:

Simplifying
-3 + x2 = 0

Solving
-3 + x2 = 0

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

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

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

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

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}
Solution
x = {0, -1.732050808, 1.732050808}