(4y^3+2w^2)(2y^3+3w^2)=

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


Simplifying
(4y3 + 2w2)(2y3 + 3w2) = 0

Reorder the terms:
(2w2 + 4y3)(2y3 + 3w2) = 0

Reorder the terms:
(2w2 + 4y3)(3w2 + 2y3) = 0

Multiply (2w2 + 4y3) * (3w2 + 2y3)
(2w2 * (3w2 + 2y3) + 4y3 * (3w2 + 2y3)) = 0
((3w2 * 2w2 + 2y3 * 2w2) + 4y3 * (3w2 + 2y3)) = 0

Reorder the terms:
((4w2y3 + 6w4) + 4y3 * (3w2 + 2y3)) = 0
((4w2y3 + 6w4) + 4y3 * (3w2 + 2y3)) = 0
(4w2y3 + 6w4 + (3w2 * 4y3 + 2y3 * 4y3)) = 0
(4w2y3 + 6w4 + (12w2y3 + 8y6)) = 0

Reorder the terms:
(4w2y3 + 12w2y3 + 6w4 + 8y6) = 0

Combine like terms: 4w2y3 + 12w2y3 = 16w2y3
(16w2y3 + 6w4 + 8y6) = 0

Solving
16w2y3 + 6w4 + 8y6 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8w2y3 + 3w4 + 4y6) = 0

Factor a trinomial.
2((3w2 + 2y3)(w2 + 2y3)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3w2 + 2y3)' equal to zero and attempt to solve:

Simplifying
3w2 + 2y3 = 0

Solving
3w2 + 2y3 = 0

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

Add '-2y3' to each side of the equation.
3w2 + 2y3 + -2y3 = 0 + -2y3

Combine like terms: 2y3 + -2y3 = 0
3w2 + 0 = 0 + -2y3
3w2 = 0 + -2y3
Remove the zero:
3w2 = -2y3

Divide each side by '3'.
w2 = -0.6666666667y3

Simplifying
w2 = -0.6666666667y3

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 '(w2 + 2y3)' equal to zero and attempt to solve:

Simplifying
w2 + 2y3 = 0

Solving
w2 + 2y3 = 0

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

Add '-2y3' to each side of the equation.
w2 + 2y3 + -2y3 = 0 + -2y3

Combine like terms: 2y3 + -2y3 = 0
w2 + 0 = 0 + -2y3
w2 = 0 + -2y3
Remove the zero:
w2 = -2y3

Simplifying
w2 = -2y3

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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