y^3=-22y^2-40y

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Solution for y^3=-22y^2-40y equation: 


Simplifying
y3 = -22y2 + -40y

Reorder the terms:
y3 = -40y + -22y2

Solving
y3 = -40y + -22y2

Solving for variable 'y'.

Reorder the terms:
40y + 22y2 + y3 = -40y + -22y2 + 40y + 22y2

Reorder the terms:
40y + 22y2 + y3 = -40y + 40y + -22y2 + 22y2

Combine like terms: -40y + 40y = 0
40y + 22y2 + y3 = 0 + -22y2 + 22y2
40y + 22y2 + y3 = -22y2 + 22y2

Combine like terms: -22y2 + 22y2 = 0
40y + 22y2 + y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(40 + 22y + y2) = 0

Factor a trinomial.
y((20 + y)(2 + y)) = 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 '(20 + y)' equal to zero and attempt to solve:

Simplifying
20 + y = 0

Solving
20 + y = 0

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

Add '-20' to each side of the equation.
20 + -20 + y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + y = 0 + -20
y = 0 + -20

Combine like terms: 0 + -20 = -20
y = -20

Simplifying
y = -20

Subproblem 3
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {0, -20, -2}

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