-20u^4-17u^2-3=0

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Solution for -20u^4-17u^2-3=0 equation: 


Simplifying
-20u4 + -17u2 + -3 = 0

Reorder the terms:
-3 + -17u2 + -20u4 = 0

Solving
-3 + -17u2 + -20u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 17u2 + 20u4) = 0

Factor a trinomial.
-1((3 + 5u2)(1 + 4u2)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3 + 5u2)' equal to zero and attempt to solve:

Simplifying
3 + 5u2 = 0

Solving
3 + 5u2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5u2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5u2 = 0 + -3
5u2 = 0 + -3

Combine like terms: 0 + -3 = -3
5u2 = -3

Divide each side by '5'.
u2 = -0.6

Simplifying
u2 = -0.6

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 '(1 + 4u2)' equal to zero and attempt to solve:

Simplifying
1 + 4u2 = 0

Solving
1 + 4u2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4u2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4u2 = 0 + -1
4u2 = 0 + -1

Combine like terms: 0 + -1 = -1
4u2 = -1

Divide each side by '4'.
u2 = -0.25

Simplifying
u2 = -0.25

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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