(3x^2-5x)*(2x^3+4x^2-x+2)=

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Solution for (3x^2-5x)*(2x^3+4x^2-x+2)= equation: 


Simplifying
(3x2 + -5x)(2x3 + 4x2 + -1x + 2) = 0

Reorder the terms:
(-5x + 3x2)(2x3 + 4x2 + -1x + 2) = 0

Reorder the terms:
(-5x + 3x2)(2 + -1x + 4x2 + 2x3) = 0

Multiply (-5x + 3x2) * (2 + -1x + 4x2 + 2x3)
(-5x * (2 + -1x + 4x2 + 2x3) + 3x2 * (2 + -1x + 4x2 + 2x3)) = 0
((2 * -5x + -1x * -5x + 4x2 * -5x + 2x3 * -5x) + 3x2 * (2 + -1x + 4x2 + 2x3)) = 0
((-10x + 5x2 + -20x3 + -10x4) + 3x2 * (2 + -1x + 4x2 + 2x3)) = 0
(-10x + 5x2 + -20x3 + -10x4 + (2 * 3x2 + -1x * 3x2 + 4x2 * 3x2 + 2x3 * 3x2)) = 0
(-10x + 5x2 + -20x3 + -10x4 + (6x2 + -3x3 + 12x4 + 6x5)) = 0

Reorder the terms:
(-10x + 5x2 + 6x2 + -20x3 + -3x3 + -10x4 + 12x4 + 6x5) = 0

Combine like terms: 5x2 + 6x2 = 11x2
(-10x + 11x2 + -20x3 + -3x3 + -10x4 + 12x4 + 6x5) = 0

Combine like terms: -20x3 + -3x3 = -23x3
(-10x + 11x2 + -23x3 + -10x4 + 12x4 + 6x5) = 0

Combine like terms: -10x4 + 12x4 = 2x4
(-10x + 11x2 + -23x3 + 2x4 + 6x5) = 0

Solving
-10x + 11x2 + -23x3 + 2x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + 11x + -23x2 + 2x3 + 6x4) = 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 '(-10 + 11x + -23x2 + 2x3 + 6x4)' equal to zero and attempt to solve:

Simplifying
-10 + 11x + -23x2 + 2x3 + 6x4 = 0

Solving
-10 + 11x + -23x2 + 2x3 + 6x4 = 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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