9x^4+18x^2-16=0

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Solution for 9x^4+18x^2-16=0 equation: 


Simplifying
9x4 + 18x2 + -16 = 0

Reorder the terms:
-16 + 18x2 + 9x4 = 0

Solving
-16 + 18x2 + 9x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x2)(2 + -3x2) = 0


Subproblem 1
Set the factor '(-8 + -3x2)' equal to zero and attempt to solve:

Simplifying
-8 + -3x2 = 0

Solving
-8 + -3x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x2 = 0 + 8

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

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

Divide each side by '-3'.
x2 = -2.666666667

Simplifying
x2 = -2.666666667

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 '(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

Take the square root of each side:
x = {-0.816496581, 0.816496581}
Solution
x = {-0.816496581, 0.816496581}

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