(4x^2-5x)*(x^3-2)=0

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Solution for (4x^2-5x)*(x^3-2)=0 equation: 


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

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

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

Multiply (-5x + 4x2) * (-2 + x3)
(-5x * (-2 + x3) + 4x2 * (-2 + x3)) = 0
((-2 * -5x + x3 * -5x) + 4x2 * (-2 + x3)) = 0
((10x + -5x4) + 4x2 * (-2 + x3)) = 0
(10x + -5x4 + (-2 * 4x2 + x3 * 4x2)) = 0
(10x + -5x4 + (-8x2 + 4x5)) = 0

Reorder the terms:
(10x + -8x2 + -5x4 + 4x5) = 0
(10x + -8x2 + -5x4 + 4x5) = 0

Solving
10x + -8x2 + -5x4 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -8x + -5x3 + 4x4) = 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 + -8x + -5x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
10 + -8x + -5x3 + 4x4 = 0

Solving
10 + -8x + -5x3 + 4x4 = 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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