x^4+4x^3+29x^2=0

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Solution for x^4+4x^3+29x^2=0 equation: 


Simplifying
x4 + 4x3 + 29x2 = 0

Reorder the terms:
29x2 + 4x3 + x4 = 0

Solving
29x2 + 4x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(29 + 4x + x2) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

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

Subproblem 2
Set the factor '(29 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
29 + 4x + x2 = 0

Solving
29 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 4x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + 4x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 4x + x2 = 0 + -29
4x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
4x + x2 = -29

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -29 + 4

Reorder the terms:
4 + 4x + x2 = -29 + 4

Combine like terms: -29 + 4 = -25
4 + 4x + x2 = -25

Factor a perfect square on the left side:
(x + 2)(x + 2) = -25

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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