2y(y^2+5y+8)=

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Solution for 2y(y^2+5y+8)= equation: 


Simplifying
2y(y2 + 5y + 8) = 0

Reorder the terms:
2y(8 + 5y + y2) = 0
(8 * 2y + 5y * 2y + y2 * 2y) = 0
(16y + 10y2 + 2y3) = 0

Solving
16y + 10y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(8 + 5y + y2) = 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 '(8 + 5y + y2)' equal to zero and attempt to solve:

Simplifying
8 + 5y + y2 = 0

Solving
8 + 5y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 5y + -8 + y2 = 0 + -8

Reorder the terms:
8 + -8 + 5y + y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5y + y2 = 0 + -8
5y + y2 = 0 + -8

Combine like terms: 0 + -8 = -8
5y + y2 = -8

The y term is 5y.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5y + 6.25 + y2 = -8 + 6.25

Reorder the terms:
6.25 + 5y + y2 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + 5y + y2 = -1.75

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = -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.
Solution
y = {0}

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