x(x^2-6x+15)=0

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Solution for x(x^2-6x+15)=0 equation: 


Simplifying
x(x2 + -6x + 15) = 0

Reorder the terms:
x(15 + -6x + x2) = 0
(15 * x + -6x * x + x2 * x) = 0
(15x + -6x2 + x3) = 0

Solving
15x + -6x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + -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 '(15 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
15 + -6x + x2 = 0

Solving
15 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -6x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -6x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -6x + x2 = 0 + -15
-6x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-6x + x2 = -15

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 = -15 + 9

Reorder the terms:
9 + -6x + x2 = -15 + 9

Combine like terms: -15 + 9 = -6
9 + -6x + x2 = -6

Factor a perfect square on the left side:
(x + -3)(x + -3) = -6

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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