10x^4-12x^2=

Solution for 10x^4-12x^2= equation:

Simplifying
10x4 + -12x2 = 0

Reorder the terms:
-12x2 + 10x4 = 0

Solving
-12x2 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-6 + 5x2) = 0

Ignore the factor 2.
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 '(-6 + 5x2)' equal to zero and attempt to solve:

Simplifying
-6 + 5x2 = 0

Solving
-6 + 5x2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x2 = 0 + 6
5x2 = 0 + 6

Combine like terms: 0 + 6 = 6
5x2 = 6

Divide each side by '5'.
x2 = 1.2

Simplifying
x2 = 1.2

Take the square root of each side:
x = {-1.095445115, 1.095445115}
Solution
x = {0, -1.095445115, 1.095445115}