-6x^4-17x^2-16=0

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Solution for -6x^4-17x^2-16=0 equation: 


Simplifying
-6x4 + -17x2 + -16 = 0

Reorder the terms:
-16 + -17x2 + -6x4 = 0

Solving
-16 + -17x2 + -6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 17x2 + 6x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(16 + 17x2 + 6x4)' equal to zero and attempt to solve:

Simplifying
16 + 17x2 + 6x4 = 0

Solving
16 + 17x2 + 6x4 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
2.666666667 + 2.833333333x2 + x4 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 2.833333333x2 + -2.666666667 + x4 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 2.833333333x2 + x4 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 2.833333333x2 + x4 = 0 + -2.666666667
2.833333333x2 + x4 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
2.833333333x2 + x4 = -2.666666667

The x term is 2.833333333x2.  Take half its coefficient (1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
2.833333333x2 + 2.006944445 + x4 = -2.666666667 + 2.006944445

Reorder the terms:
2.006944445 + 2.833333333x2 + x4 = -2.666666667 + 2.006944445

Combine like terms: -2.666666667 + 2.006944445 = -0.659722222
2.006944445 + 2.833333333x2 + x4 = -0.659722222

Factor a perfect square on the left side:
(x2 + 1.416666667)(x2 + 1.416666667) = -0.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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