18u^4-102u^2-336=0

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Solution for 18u^4-102u^2-336=0 equation: 


Simplifying
18u4 + -102u2 + -336 = 0

Reorder the terms:
-336 + -102u2 + 18u4 = 0

Solving
-336 + -102u2 + 18u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-56 + -17u2 + 3u4) = 0

Factor a trinomial.
6((-7 + -3u2)(8 + -1u2)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-7 + -3u2)' equal to zero and attempt to solve:

Simplifying
-7 + -3u2 = 0

Solving
-7 + -3u2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3u2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3u2 = 0 + 7
-3u2 = 0 + 7

Combine like terms: 0 + 7 = 7
-3u2 = 7

Divide each side by '-3'.
u2 = -2.333333333

Simplifying
u2 = -2.333333333

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 '(8 + -1u2)' equal to zero and attempt to solve:

Simplifying
8 + -1u2 = 0

Solving
8 + -1u2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1u2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1u2 = 0 + -8
-1u2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1u2 = -8

Divide each side by '-1'.
u2 = 8

Simplifying
u2 = 8

Take the square root of each side:
u = {-2.828427125, 2.828427125}
Solution
u = {-2.828427125, 2.828427125}

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