(x^2+2x+3)(x^2-2x*2)=0

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Solution for (x^2+2x+3)(x^2-2x*2)=0 equation: 


Simplifying
(x2 + 2x + 3)(x2 + -2x * 2) = 0

Reorder the terms:
(3 + 2x + x2)(x2 + -2x * 2) = 0

Reorder the terms for easier multiplication:
(3 + 2x + x2)(x2 + -2 * 2x) = 0

Multiply -2 * 2
(3 + 2x + x2)(x2 + -4x) = 0

Reorder the terms:
(3 + 2x + x2)(-4x + x2) = 0

Multiply (3 + 2x + x2) * (-4x + x2)
(3(-4x + x2) + 2x * (-4x + x2) + x2(-4x + x2)) = 0
((-4x * 3 + x2 * 3) + 2x * (-4x + x2) + x2(-4x + x2)) = 0
((-12x + 3x2) + 2x * (-4x + x2) + x2(-4x + x2)) = 0
(-12x + 3x2 + (-4x * 2x + x2 * 2x) + x2(-4x + x2)) = 0
(-12x + 3x2 + (-8x2 + 2x3) + x2(-4x + x2)) = 0
(-12x + 3x2 + -8x2 + 2x3 + (-4x * x2 + x2 * x2)) = 0
(-12x + 3x2 + -8x2 + 2x3 + (-4x3 + x4)) = 0

Combine like terms: 3x2 + -8x2 = -5x2
(-12x + -5x2 + 2x3 + -4x3 + x4) = 0

Combine like terms: 2x3 + -4x3 = -2x3
(-12x + -5x2 + -2x3 + x4) = 0

Solving
-12x + -5x2 + -2x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -5x + -2x2 + x3) = 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 '(-12 + -5x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-12 + -5x + -2x2 + x3 = 0

Solving
-12 + -5x + -2x2 + x3 = 0

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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