2y(3y^4+14y^3+8y^2)=

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Solution for 2y(3y^4+14y^3+8y^2)= equation: 


Simplifying
2y(3y4 + 14y3 + 8y2) = 0

Reorder the terms:
2y(8y2 + 14y3 + 3y4) = 0
(8y2 * 2y + 14y3 * 2y + 3y4 * 2y) = 0
(16y3 + 28y4 + 6y5) = 0

Solving
16y3 + 28y4 + 6y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y3'.
2y3(8 + 14y + 3y2) = 0

Factor a trinomial.
2y3((4 + y)(2 + 3y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve:

Simplifying
y3 = 0

Solving
y3 = 0

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

Simplifying
y3 = 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 '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Simplifying
y = -4

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

Simplifying
2 + 3y = 0

Solving
2 + 3y = 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 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {-4, -0.6666666667}

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