3x^4-73x^2-50=0

Solution for 3x^4-73x^2-50=0 equation:

Simplifying
3x4 + -73x2 + -50 = 0

Reorder the terms:
-50 + -73x2 + 3x4 = 0

Solving
-50 + -73x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x2)(25 + -1x2) = 0

Factor a difference between two squares.
(-2 + -3x2)((5 + x)(5 + -1x)) = 0

Subproblem 1
Set the factor '(-2 + -3x2)' equal to zero and attempt to solve:

Simplifying
-2 + -3x2 = 0

Solving
-2 + -3x2 = 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 + -3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x2 = 0 + 2
-3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-3x2 = 2

Divide each side by '-3'.
x2 = -0.6666666667

Simplifying
x2 = -0.6666666667

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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

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

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-5, 5}