x*(x^2+6*x+25)=

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Solution for x*(x^2+6*x+25)= equation: 


Simplifying
x(x2 + 6x + 25) = 0

Reorder the terms:
x(25 + 6x + x2) = 0
(25 * x + 6x * x + x2 * x) = 0
(25x + 6x2 + x3) = 0

Solving
25x + 6x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25 + 6x + 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 '(25 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
25 + 6x + x2 = 0

Solving
25 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 6x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + 6x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 6x + x2 = 0 + -25
6x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
6x + x2 = -25

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -25 + 9

Reorder the terms:
9 + 6x + x2 = -25 + 9

Combine like terms: -25 + 9 = -16
9 + 6x + x2 = -16

Factor a perfect square on the left side:
(x + 3)(x + 3) = -16

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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