4x^5-21x^3+40x=-16x^4+74x^2

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Solution for 4x^5-21x^3+40x=-16x^4+74x^2 equation: 


Simplifying
4x5 + -21x3 + 40x = -16x4 + 74x2

Reorder the terms:
40x + -21x3 + 4x5 = -16x4 + 74x2

Reorder the terms:
40x + -21x3 + 4x5 = 74x2 + -16x4

Solving
40x + -21x3 + 4x5 = 74x2 + -16x4

Solving for variable 'x'.

Reorder the terms:
40x + -74x2 + -21x3 + 16x4 + 4x5 = 74x2 + -16x4 + -74x2 + 16x4

Reorder the terms:
40x + -74x2 + -21x3 + 16x4 + 4x5 = 74x2 + -74x2 + -16x4 + 16x4

Combine like terms: 74x2 + -74x2 = 0
40x + -74x2 + -21x3 + 16x4 + 4x5 = 0 + -16x4 + 16x4
40x + -74x2 + -21x3 + 16x4 + 4x5 = -16x4 + 16x4

Combine like terms: -16x4 + 16x4 = 0
40x + -74x2 + -21x3 + 16x4 + 4x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(40 + -74x + -21x2 + 16x3 + 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 '(40 + -74x + -21x2 + 16x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
40 + -74x + -21x2 + 16x3 + 4x4 = 0

Solving
40 + -74x + -21x2 + 16x3 + 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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