y^6+9y^5+22y^4=0

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Solution for y^6+9y^5+22y^4=0 equation: 


Simplifying
y6 + 9y5 + 22y4 = 0

Reorder the terms:
22y4 + 9y5 + y6 = 0

Solving
22y4 + 9y5 + y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y4'.
y4(22 + 9y + y2) = 0


Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve:

Simplifying
y4 = 0

Solving
y4 = 0

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

Simplifying
y4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(22 + 9y + y2)' equal to zero and attempt to solve:

Simplifying
22 + 9y + y2 = 0

Solving
22 + 9y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 9y + -22 + y2 = 0 + -22

Reorder the terms:
22 + -22 + 9y + y2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 9y + y2 = 0 + -22
9y + y2 = 0 + -22

Combine like terms: 0 + -22 = -22
9y + y2 = -22

The y term is 9y.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9y + 20.25 + y2 = -22 + 20.25

Reorder the terms:
20.25 + 9y + y2 = -22 + 20.25

Combine like terms: -22 + 20.25 = -1.75
20.25 + 9y + y2 = -1.75

Factor a perfect square on the left side:
(y + 4.5)(y + 4.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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