x^4-133-12x^2=0

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Solution for x^4-133-12x^2=0 equation: 


Simplifying
x4 + -133 + -12x2 = 0

Reorder the terms:
-133 + -12x2 + x4 = 0

Solving
-133 + -12x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x2)(19 + -1x2) = 0


Subproblem 1
Set the factor '(-7 + -1x2)' equal to zero and attempt to solve:

Simplifying
-7 + -1x2 = 0

Solving
-7 + -1x2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x2 = 0 + 7
-1x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1x2 = 7

Divide each side by '-1'.
x2 = -7

Simplifying
x2 = -7

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(19 + -1x2)' equal to zero and attempt to solve:

Simplifying
19 + -1x2 = 0

Solving
19 + -1x2 = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x2 = 0 + -19
-1x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-1x2 = -19

Divide each side by '-1'.
x2 = 19

Simplifying
x2 = 19

Take the square root of each side:
x = {-4.358898944, 4.358898944}
Solution
x = {-4.358898944, 4.358898944}

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