(2x^2-3x)(5x^3-2x+8)=

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Solution for (2x^2-3x)(5x^3-2x+8)= equation: 


Simplifying
(2x2 + -3x)(5x3 + -2x + 8) = 0

Reorder the terms:
(-3x + 2x2)(5x3 + -2x + 8) = 0

Reorder the terms:
(-3x + 2x2)(8 + -2x + 5x3) = 0

Multiply (-3x + 2x2) * (8 + -2x + 5x3)
(-3x * (8 + -2x + 5x3) + 2x2 * (8 + -2x + 5x3)) = 0
((8 * -3x + -2x * -3x + 5x3 * -3x) + 2x2 * (8 + -2x + 5x3)) = 0
((-24x + 6x2 + -15x4) + 2x2 * (8 + -2x + 5x3)) = 0
(-24x + 6x2 + -15x4 + (8 * 2x2 + -2x * 2x2 + 5x3 * 2x2)) = 0
(-24x + 6x2 + -15x4 + (16x2 + -4x3 + 10x5)) = 0

Reorder the terms:
(-24x + 6x2 + 16x2 + -4x3 + -15x4 + 10x5) = 0

Combine like terms: 6x2 + 16x2 = 22x2
(-24x + 22x2 + -4x3 + -15x4 + 10x5) = 0

Solving
-24x + 22x2 + -4x3 + -15x4 + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + 22x + -4x2 + -15x3 + 10x4) = 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 '(-24 + 22x + -4x2 + -15x3 + 10x4)' equal to zero and attempt to solve:

Simplifying
-24 + 22x + -4x2 + -15x3 + 10x4 = 0

Solving
-24 + 22x + -4x2 + -15x3 + 10x4 = 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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