5x^4-16x^2+12=0

Solution for 5x^4-16x^2+12=0 equation:

Simplifying
5x4 + -16x2 + 12 = 0

Reorder the terms:
12 + -16x2 + 5x4 = 0

Solving
12 + -16x2 + 5x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -5x2)(2 + -1x2) = 0

Subproblem 1
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}
Subproblem 2
Set the factor '(2 + -1x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x2 = 0

Solving
2 + -1x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 = 0 + -2
-1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x2 = -2

Divide each side by '-1'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}
Solution
x = {-1.095445115, 1.095445115, -1.414213562, 1.414213562}