=9x^4-143x^2-16

Solution for =9x^4-143x^2-16 equation:

Simplifying
0 = 9x4 + -143x2 + -16

Reorder the terms:
0 = -16 + -143x2 + 9x4

Solving
0 = -16 + -143x2 + 9x4

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 143x2 + -9x4 = -16 + -143x2 + 9x4 + 16 + 143x2 + -9x4

Reorder the terms:
16 + 143x2 + -9x4 = -16 + 16 + -143x2 + 143x2 + 9x4 + -9x4

Combine like terms: -16 + 16 = 0
16 + 143x2 + -9x4 = 0 + -143x2 + 143x2 + 9x4 + -9x4
16 + 143x2 + -9x4 = -143x2 + 143x2 + 9x4 + -9x4

Combine like terms: -143x2 + 143x2 = 0
16 + 143x2 + -9x4 = 0 + 9x4 + -9x4
16 + 143x2 + -9x4 = 9x4 + -9x4

Combine like terms: 9x4 + -9x4 = 0
16 + 143x2 + -9x4 = 0

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

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

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

Simplifying
1 + 9x2 = 0

Solving
1 + 9x2 = 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 + 9x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9x2 = 0 + -1
9x2 = 0 + -1

Combine like terms: 0 + -1 = -1
9x2 = -1

Divide each side by '9'.
x2 = -0.1111111111

Simplifying
x2 = -0.1111111111

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}