8x^4-52x^2+44=0

Solution for 8x^4-52x^2+44=0 equation:

Simplifying
8x4 + -52x2 + 44 = 0

Reorder the terms:
44 + -52x2 + 8x4 = 0

Solving
44 + -52x2 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(11 + -13x2 + 2x4) = 0

Factor a trinomial.
4((1 + -1x2)(11 + -2x2)) = 0

Factor a difference between two squares.
4(((1 + x)(1 + -1x))(11 + -2x2)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(11 + -2x2)' equal to zero and attempt to solve:

Simplifying
11 + -2x2 = 0

Solving
11 + -2x2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x2 = 0 + -11
-2x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-2x2 = -11

Divide each side by '-2'.
x2 = 5.5

Simplifying
x2 = 5.5

Take the square root of each side:
x = {-2.34520788, 2.34520788}
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-2.34520788, 2.34520788, -1, 1}