16x^5+64x^2-20x^3+80x^2=0

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Solution for 16x^5+64x^2-20x^3+80x^2=0 equation: 


Simplifying
16x5 + 64x2 + -20x3 + 80x2 = 0

Reorder the terms:
64x2 + 80x2 + -20x3 + 16x5 = 0

Combine like terms: 64x2 + 80x2 = 144x2
144x2 + -20x3 + 16x5 = 0

Solving
144x2 + -20x3 + 16x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(36 + -5x + 4x3) = 0

Ignore the factor 4.

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 '(36 + -5x + 4x3)' equal to zero and attempt to solve:

Simplifying
36 + -5x + 4x3 = 0

Solving
36 + -5x + 4x3 = 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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