X^3+2X^2+3X=0

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Solution for X^3+2X^2+3X=0 equation: 


Simplifying
X3 + 2X2 + 3X = 0

Reorder the terms:
3X + 2X2 + X3 = 0

Solving
3X + 2X2 + X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(3 + 2X + 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 '(3 + 2X + X2)' equal to zero and attempt to solve:

Simplifying
3 + 2X + X2 = 0

Solving
3 + 2X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2X + -3 + X2 = 0 + -3

Reorder the terms:
3 + -3 + 2X + X2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2X + X2 = 0 + -3
2X + X2 = 0 + -3

Combine like terms: 0 + -3 = -3
2X + X2 = -3

The X term is 2X.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2X + 1 + X2 = -3 + 1

Reorder the terms:
1 + 2X + X2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + 2X + X2 = -2

Factor a perfect square on the left side:
(X + 1)(X + 1) = -2

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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