(8y^3+20y^2)(4y^3+20)=

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Solution for (8y^3+20y^2)(4y^3+20)= equation: 


Simplifying
(8y3 + 20y2)(4y3 + 20) = 0

Reorder the terms:
(20y2 + 8y3)(4y3 + 20) = 0

Reorder the terms:
(20y2 + 8y3)(20 + 4y3) = 0

Multiply (20y2 + 8y3) * (20 + 4y3)
(20y2 * (20 + 4y3) + 8y3 * (20 + 4y3)) = 0
((20 * 20y2 + 4y3 * 20y2) + 8y3 * (20 + 4y3)) = 0
((400y2 + 80y5) + 8y3 * (20 + 4y3)) = 0
(400y2 + 80y5 + (20 * 8y3 + 4y3 * 8y3)) = 0
(400y2 + 80y5 + (160y3 + 32y6)) = 0

Reorder the terms:
(400y2 + 160y3 + 80y5 + 32y6) = 0
(400y2 + 160y3 + 80y5 + 32y6) = 0

Solving
400y2 + 160y3 + 80y5 + 32y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '16y2'.
16y2(25 + 10y + 5y3 + 2y4) = 0

Ignore the factor 16.

Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}

Subproblem 2
Set the factor '(25 + 10y + 5y3 + 2y4)' equal to zero and attempt to solve:

Simplifying
25 + 10y + 5y3 + 2y4 = 0

Solving
25 + 10y + 5y3 + 2y4 = 0

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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