(x)(x^2+5x+9)=

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Solution for (x)(x^2+5x+9)= equation: 


Simplifying
(x)(x2 + 5x + 9) = 0

Reorder the terms:
x(9 + 5x + x2) = 0
(9 * x + 5x * x + x2 * x) = 0
(9x + 5x2 + x3) = 0

Solving
9x + 5x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 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 '(9 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
9 + 5x + x2 = 0

Solving
9 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 5x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + 5x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x + x2 = 0 + -9
5x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
5x + x2 = -9

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 = -9 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -9 + 6.25

Combine like terms: -9 + 6.25 = -2.75
6.25 + 5x + x2 = -2.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -2.75

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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