2x(x^2+4x+15)=0

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Solution for 2x(x^2+4x+15)=0 equation: 


Simplifying
2x(x2 + 4x + 15) = 0

Reorder the terms:
2x(15 + 4x + x2) = 0
(15 * 2x + 4x * 2x + x2 * 2x) = 0
(30x + 8x2 + 2x3) = 0

Solving
30x + 8x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(15 + 4x + x2) = 0

Ignore the factor 2.

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 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
15 + 4x + x2 = 0

Solving
15 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 4x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 4x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x + x2 = 0 + -15
4x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
4x + x2 = -15

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 = -15 + 4

Reorder the terms:
4 + 4x + x2 = -15 + 4

Combine like terms: -15 + 4 = -11
4 + 4x + x2 = -11

Factor a perfect square on the left side:
(x + 2)(x + 2) = -11

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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