u*u*u*u-10u*u*u-4u*u+40u=0

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Solution for u*u*u*u-10u*u*u-4u*u+40u=0 equation: 


Simplifying
u * u * u * u + -10u * u * u + -4u * u + 40u = 0

Multiply u * u
u2 * u * u + -10u * u * u + -4u * u + 40u = 0

Multiply u2 * u
u3 * u + -10u * u * u + -4u * u + 40u = 0

Multiply u3 * u
u4 + -10u * u * u + -4u * u + 40u = 0

Multiply u * u
u4 + -10u2 * u + -4u * u + 40u = 0

Multiply u2 * u
u4 + -10u3 + -4u * u + 40u = 0

Multiply u * u
u4 + -10u3 + -4u2 + 40u = 0

Reorder the terms:
40u + -4u2 + -10u3 + u4 = 0

Solving
40u + -4u2 + -10u3 + u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(40 + -4u + -10u2 + u3) = 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 '(40 + -4u + -10u2 + u3)' equal to zero and attempt to solve:

Simplifying
40 + -4u + -10u2 + u3 = 0

Solving
40 + -4u + -10u2 + u3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}

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