9x^4+256x^2-6400=0

Solution for 9x^4+256x^2-6400=0 equation:

Simplifying
9x4 + 256x2 + -6400 = 0

Reorder the terms:
-6400 + 256x2 + 9x4 = 0

Solving
-6400 + 256x2 + 9x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-400 + -9x2)(16 + -1x2) = 0

Factor a difference between two squares.
(-400 + -9x2)((4 + x)(4 + -1x)) = 0

Subproblem 1
Set the factor '(-400 + -9x2)' equal to zero and attempt to solve:

Simplifying
-400 + -9x2 = 0

Solving
-400 + -9x2 = 0

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

Add '400' to each side of the equation.
-400 + 400 + -9x2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + -9x2 = 0 + 400
-9x2 = 0 + 400

Combine like terms: 0 + 400 = 400
-9x2 = 400

Divide each side by '-9'.
x2 = -44.44444444

Simplifying
x2 = -44.44444444

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-4, 4}