0=-3x^4-8x^2+16

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Solution for 0=-3x^4-8x^2+16 equation: 


Simplifying
0 = -3x4 + -8x2 + 16

Reorder the terms:
0 = 16 + -8x2 + -3x4

Solving
0 = 16 + -8x2 + -3x4

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 8x2 + 3x4 = 16 + -8x2 + -3x4 + -16 + 8x2 + 3x4

Reorder the terms:
-16 + 8x2 + 3x4 = 16 + -16 + -8x2 + 8x2 + -3x4 + 3x4

Combine like terms: 16 + -16 = 0
-16 + 8x2 + 3x4 = 0 + -8x2 + 8x2 + -3x4 + 3x4
-16 + 8x2 + 3x4 = -8x2 + 8x2 + -3x4 + 3x4

Combine like terms: -8x2 + 8x2 = 0
-16 + 8x2 + 3x4 = 0 + -3x4 + 3x4
-16 + 8x2 + 3x4 = -3x4 + 3x4

Combine like terms: -3x4 + 3x4 = 0
-16 + 8x2 + 3x4 = 0

Factor a trinomial.
(-4 + -1x2)(4 + -3x2) = 0


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

Simplifying
-4 + -1x2 = 0

Solving
-4 + -1x2 = 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 + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x2 = 0 + 4
-1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x2 = 4

Divide each side by '-1'.
x2 = -4

Simplifying
x2 = -4

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 + -3x2)' equal to zero and attempt to solve:

Simplifying
4 + -3x2 = 0

Solving
4 + -3x2 = 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 + -3x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x2 = 0 + -4
-3x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3x2 = -4

Divide each side by '-3'.
x2 = 1.333333333

Simplifying
x2 = 1.333333333

Take the square root of each side:
x = {-1.154700538, 1.154700538}
Solution
x = {-1.154700538, 1.154700538}

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