0=x^2(2x-5)(16807-x^5)

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Solution for 0=x^2(2x-5)(16807-x^5) equation: 


Simplifying
0 = x2(2x + -5)(16807 + -1x5)

Reorder the terms:
0 = x2(-5 + 2x)(16807 + -1x5)

Multiply (-5 + 2x) * (16807 + -1x5)
0 = x2(-5(16807 + -1x5) + 2x * (16807 + -1x5))
0 = x2((16807 * -5 + -1x5 * -5) + 2x * (16807 + -1x5))
0 = x2((-84035 + 5x5) + 2x * (16807 + -1x5))
0 = x2(-84035 + 5x5 + (16807 * 2x + -1x5 * 2x))
0 = x2(-84035 + 5x5 + (33614x + -2x6))

Reorder the terms:
0 = x2(-84035 + 33614x + 5x5 + -2x6)
0 = x2(-84035 + 33614x + 5x5 + -2x6)
0 = (-84035 * x2 + 33614x * x2 + 5x5 * x2 + -2x6 * x2)
0 = (-84035x2 + 33614x3 + 5x7 + -2x8)

Solving
0 = -84035x2 + 33614x3 + 5x7 + -2x8

Solving for variable 'x'.
Remove the zero:
84035x2 + -33614x3 + -5x7 + 2x8 = -84035x2 + 33614x3 + 5x7 + -2x8 + 84035x2 + -33614x3 + -5x7 + 2x8

Reorder the terms:
84035x2 + -33614x3 + -5x7 + 2x8 = -84035x2 + 84035x2 + 33614x3 + -33614x3 + 5x7 + -5x7 + -2x8 + 2x8

Combine like terms: -84035x2 + 84035x2 = 0
84035x2 + -33614x3 + -5x7 + 2x8 = 0 + 33614x3 + -33614x3 + 5x7 + -5x7 + -2x8 + 2x8
84035x2 + -33614x3 + -5x7 + 2x8 = 33614x3 + -33614x3 + 5x7 + -5x7 + -2x8 + 2x8

Combine like terms: 33614x3 + -33614x3 = 0
84035x2 + -33614x3 + -5x7 + 2x8 = 0 + 5x7 + -5x7 + -2x8 + 2x8
84035x2 + -33614x3 + -5x7 + 2x8 = 5x7 + -5x7 + -2x8 + 2x8

Combine like terms: 5x7 + -5x7 = 0
84035x2 + -33614x3 + -5x7 + 2x8 = 0 + -2x8 + 2x8
84035x2 + -33614x3 + -5x7 + 2x8 = -2x8 + 2x8

Combine like terms: -2x8 + 2x8 = 0
84035x2 + -33614x3 + -5x7 + 2x8 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(84035 + -33614x + -5x5 + 2x6) = 0


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 '(84035 + -33614x + -5x5 + 2x6)' equal to zero and attempt to solve:

Simplifying
84035 + -33614x + -5x5 + 2x6 = 0

Solving
84035 + -33614x + -5x5 + 2x6 = 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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