2y*y*y+14y*y=-20y

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Solution for 2y*y*y+14y*y=-20y equation: 


Simplifying
2y * y * y + 14y * y = -20y

Multiply y * y
2y2 * y + 14y * y = -20y

Multiply y2 * y
2y3 + 14y * y = -20y

Multiply y * y
2y3 + 14y2 = -20y

Reorder the terms:
14y2 + 2y3 = -20y

Solving
14y2 + 2y3 = -20y

Solving for variable 'y'.

Reorder the terms:
20y + 14y2 + 2y3 = -20y + 20y

Combine like terms: -20y + 20y = 0
20y + 14y2 + 2y3 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(10 + 7y + y2) = 0

Factor a trinomial.
2y((5 + y)(2 + y)) = 0

Ignore the factor 2.

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 '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

Solving
5 + y = 0

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

Add '-5' to each side of the equation.
5 + -5 + y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y = 0 + -5
y = 0 + -5

Combine like terms: 0 + -5 = -5
y = -5

Simplifying
y = -5

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, -5, -2}

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