u^5+2u^3-35u=0

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Solution for u^5+2u^3-35u=0 equation: 


Simplifying
u5 + 2u3 + -35u = 0

Reorder the terms:
-35u + 2u3 + u5 = 0

Solving
-35u + 2u3 + u5 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-35 + 2u2 + u4) = 0

Factor a trinomial.
u((-7 + -1u2)(5 + -1u2)) = 0


Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0

Subproblem 2
Set the factor '(-7 + -1u2)' equal to zero and attempt to solve:

Simplifying
-7 + -1u2 = 0

Solving
-7 + -1u2 = 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 + -1u2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1u2 = 0 + 7
-1u2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1u2 = 7

Divide each side by '-1'.
u2 = -7

Simplifying
u2 = -7

The solution to this equation could not be determined.

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

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

Simplifying
5 + -1u2 = 0

Solving
5 + -1u2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1u2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1u2 = 0 + -5
-1u2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1u2 = -5

Divide each side by '-1'.
u2 = 5

Simplifying
u2 = 5

Take the square root of each side:
u = {-2.236067978, 2.236067978}
Solution
u = {0, -2.236067978, 2.236067978}

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