y=y^4-9y^3+18y^2

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Solution for y=y^4-9y^3+18y^2 equation: 


Simplifying
y = y4 + -9y3 + 18y2

Reorder the terms:
y = 18y2 + -9y3 + y4

Solving
y = 18y2 + -9y3 + y4

Solving for variable 'y'.

Reorder the terms:
y + -18y2 + 9y3 + -1y4 = 18y2 + -18y2 + -9y3 + 9y3 + y4 + -1y4

Combine like terms: 18y2 + -18y2 = 0
y + -18y2 + 9y3 + -1y4 = 0 + -9y3 + 9y3 + y4 + -1y4
y + -18y2 + 9y3 + -1y4 = -9y3 + 9y3 + y4 + -1y4

Combine like terms: -9y3 + 9y3 = 0
y + -18y2 + 9y3 + -1y4 = 0 + y4 + -1y4
y + -18y2 + 9y3 + -1y4 = y4 + -1y4

Combine like terms: y4 + -1y4 = 0
y + -18y2 + 9y3 + -1y4 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + -18y + 9y2 + -1y3) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(1 + -18y + 9y2 + -1y3)' equal to zero and attempt to solve:

Simplifying
1 + -18y + 9y2 + -1y3 = 0

Solving
1 + -18y + 9y2 + -1y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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