3u^5-14u^3-80u=0

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Solution for 3u^5-14u^3-80u=0 equation:


Simplifying
3u5 + -14u3 + -80u = 0

Reorder the terms:
-80u + -14u3 + 3u5 = 0

Solving
-80u + -14u3 + 3u5 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-80 + -14u2 + 3u4) = 0

Factor a trinomial.
u((-10 + -3u2)(8 + -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 '(-10 + -3u2)' equal to zero and attempt to solve: Simplifying -10 + -3u2 = 0 Solving -10 + -3u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3u2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3u2 = 0 + 10 -3u2 = 0 + 10 Combine like terms: 0 + 10 = 10 -3u2 = 10 Divide each side by '-3'. u2 = -3.333333333 Simplifying u2 = -3.333333333 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 '(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 = {0, -2.828427125, 2.828427125}

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