2x^2(5x^3-4x^2-8)=0

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Solution for 2x^2(5x^3-4x^2-8)=0 equation: 


Simplifying
2x2(5x3 + -4x2 + -8) = 0

Reorder the terms:
2x2(-8 + -4x2 + 5x3) = 0
(-8 * 2x2 + -4x2 * 2x2 + 5x3 * 2x2) = 0
(-16x2 + -8x4 + 10x5) = 0

Solving
-16x2 + -8x4 + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-8 + -4x2 + 5x3) = 0

Ignore the factor 2.

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 + -4x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
-8 + -4x2 + 5x3 = 0

Solving
-8 + -4x2 + 5x3 = 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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