u^4+11u^3+40u^2=

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Solution for u^4+11u^3+40u^2= equation: 


Simplifying
u4 + 11u3 + 40u2 = 0

Reorder the terms:
40u2 + 11u3 + u4 = 0

Solving
40u2 + 11u3 + u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u2'.
u2(40 + 11u + u2) = 0


Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve:

Simplifying
u2 = 0

Solving
u2 = 0

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

Simplifying
u2 = 0

Take the square root of each side:
u = {0}

Subproblem 2
Set the factor '(40 + 11u + u2)' equal to zero and attempt to solve:

Simplifying
40 + 11u + u2 = 0

Solving
40 + 11u + u2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + 11u + -40 + u2 = 0 + -40

Reorder the terms:
40 + -40 + 11u + u2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 11u + u2 = 0 + -40
11u + u2 = 0 + -40

Combine like terms: 0 + -40 = -40
11u + u2 = -40

The u term is 11u.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11u + 30.25 + u2 = -40 + 30.25

Reorder the terms:
30.25 + 11u + u2 = -40 + 30.25

Combine like terms: -40 + 30.25 = -9.75
30.25 + 11u + u2 = -9.75

Factor a perfect square on the left side:
(u + 5.5)(u + 5.5) = -9.75

Can't calculate square root of the right side.

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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