5y(3y^4+5)(3y^4-5)=

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Solution for 5y(3y^4+5)(3y^4-5)= equation: 


Simplifying
5y(3y4 + 5)(3y4 + -5) = 0

Reorder the terms:
5y(5 + 3y4)(3y4 + -5) = 0

Reorder the terms:
5y(5 + 3y4)(-5 + 3y4) = 0

Multiply (5 + 3y4) * (-5 + 3y4)
5y(5(-5 + 3y4) + 3y4 * (-5 + 3y4)) = 0
5y((-5 * 5 + 3y4 * 5) + 3y4 * (-5 + 3y4)) = 0
5y((-25 + 15y4) + 3y4 * (-5 + 3y4)) = 0
5y(-25 + 15y4 + (-5 * 3y4 + 3y4 * 3y4)) = 0
5y(-25 + 15y4 + (-15y4 + 9y8)) = 0

Combine like terms: 15y4 + -15y4 = 0
5y(-25 + 0 + 9y8) = 0
5y(-25 + 9y8) = 0
(-25 * 5y + 9y8 * 5y) = 0
(-125y + 45y9) = 0

Solving
-125y + 45y9 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-25 + 9y8) = 0

Factor a difference between two squares.
5y((5 + 3y4)(-5 + 3y4)) = 0

Ignore the factor 5.

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 + 3y4)' equal to zero and attempt to solve:

Simplifying
5 + 3y4 = 0

Solving
5 + 3y4 = 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 + 3y4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3y4 = 0 + -5
3y4 = 0 + -5

Combine like terms: 0 + -5 = -5
3y4 = -5

Divide each side by '3'.
y4 = -1.666666667

Simplifying
y4 = -1.666666667

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-5 + 3y4)' equal to zero and attempt to solve:

Simplifying
-5 + 3y4 = 0

Solving
-5 + 3y4 = 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 + 3y4 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3y4 = 0 + 5
3y4 = 0 + 5

Combine like terms: 0 + 5 = 5
3y4 = 5

Divide each side by '3'.
y4 = 1.666666667

Simplifying
y4 = 1.666666667

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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