(3x^3+4x^2-4x)*(x^2+2x)=

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Solution for (3x^3+4x^2-4x)*(x^2+2x)= equation: 


Simplifying
(3x3 + 4x2 + -4x)(x2 + 2x) = 0

Reorder the terms:
(-4x + 4x2 + 3x3)(x2 + 2x) = 0

Reorder the terms:
(-4x + 4x2 + 3x3)(2x + x2) = 0

Multiply (-4x + 4x2 + 3x3) * (2x + x2)
(-4x * (2x + x2) + 4x2 * (2x + x2) + 3x3 * (2x + x2)) = 0
((2x * -4x + x2 * -4x) + 4x2 * (2x + x2) + 3x3 * (2x + x2)) = 0
((-8x2 + -4x3) + 4x2 * (2x + x2) + 3x3 * (2x + x2)) = 0
(-8x2 + -4x3 + (2x * 4x2 + x2 * 4x2) + 3x3 * (2x + x2)) = 0
(-8x2 + -4x3 + (8x3 + 4x4) + 3x3 * (2x + x2)) = 0
(-8x2 + -4x3 + 8x3 + 4x4 + (2x * 3x3 + x2 * 3x3)) = 0
(-8x2 + -4x3 + 8x3 + 4x4 + (6x4 + 3x5)) = 0

Combine like terms: -4x3 + 8x3 = 4x3
(-8x2 + 4x3 + 4x4 + 6x4 + 3x5) = 0

Combine like terms: 4x4 + 6x4 = 10x4
(-8x2 + 4x3 + 10x4 + 3x5) = 0

Solving
-8x2 + 4x3 + 10x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-8 + 4x + 10x2 + 3x3) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-8 + 4x + 10x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-8 + 4x + 10x2 + 3x3 = 0

Solving
-8 + 4x + 10x2 + 3x3 = 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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