11x+x^3-5x^2=0

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Solution for 11x+x^3-5x^2=0 equation: 


Simplifying
11x + x3 + -5x2 = 0

Reorder the terms:
11x + -5x2 + x3 = 0

Solving
11x + -5x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + -5x + x2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
11 + -5x + x2 = 0

Solving
11 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -5x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -5x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5x + x2 = 0 + -11
-5x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-5x + x2 = -11

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -11 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -11 + 6.25

Combine like terms: -11 + 6.25 = -4.75
6.25 + -5x + x2 = -4.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -4.75

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
x = {0}

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