0=x^5-3x^4-9x^3+25x^2-6x

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Solution for 0=x^5-3x^4-9x^3+25x^2-6x equation: 


Simplifying
0 = x5 + -3x4 + -9x3 + 25x2 + -6x

Reorder the terms:
0 = -6x + 25x2 + -9x3 + -3x4 + x5

Solving
0 = -6x + 25x2 + -9x3 + -3x4 + x5

Solving for variable 'x'.
Remove the zero:
6x + -25x2 + 9x3 + 3x4 + -1x5 = -6x + 25x2 + -9x3 + -3x4 + x5 + 6x + -25x2 + 9x3 + 3x4 + -1x5

Reorder the terms:
6x + -25x2 + 9x3 + 3x4 + -1x5 = -6x + 6x + 25x2 + -25x2 + -9x3 + 9x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: -6x + 6x = 0
6x + -25x2 + 9x3 + 3x4 + -1x5 = 0 + 25x2 + -25x2 + -9x3 + 9x3 + -3x4 + 3x4 + x5 + -1x5
6x + -25x2 + 9x3 + 3x4 + -1x5 = 25x2 + -25x2 + -9x3 + 9x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: 25x2 + -25x2 = 0
6x + -25x2 + 9x3 + 3x4 + -1x5 = 0 + -9x3 + 9x3 + -3x4 + 3x4 + x5 + -1x5
6x + -25x2 + 9x3 + 3x4 + -1x5 = -9x3 + 9x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: -9x3 + 9x3 = 0
6x + -25x2 + 9x3 + 3x4 + -1x5 = 0 + -3x4 + 3x4 + x5 + -1x5
6x + -25x2 + 9x3 + 3x4 + -1x5 = -3x4 + 3x4 + x5 + -1x5

Combine like terms: -3x4 + 3x4 = 0
6x + -25x2 + 9x3 + 3x4 + -1x5 = 0 + x5 + -1x5
6x + -25x2 + 9x3 + 3x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
6x + -25x2 + 9x3 + 3x4 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -25x + 9x2 + 3x3 + -1x4) = 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 '(6 + -25x + 9x2 + 3x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
6 + -25x + 9x2 + 3x3 + -1x4 = 0

Solving
6 + -25x + 9x2 + 3x3 + -1x4 = 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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