(5w^3+6y^2)(2w^3-y^2)=0

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Solution for (5w^3+6y^2)(2w^3-y^2)=0 equation: 


Simplifying
(5w3 + 6y2)(2w3 + -1y2) = 0

Multiply (5w3 + 6y2) * (2w3 + -1y2)
(5w3 * (2w3 + -1y2) + 6y2 * (2w3 + -1y2)) = 0
((2w3 * 5w3 + -1y2 * 5w3) + 6y2 * (2w3 + -1y2)) = 0

Reorder the terms:
((-5w3y2 + 10w6) + 6y2 * (2w3 + -1y2)) = 0
((-5w3y2 + 10w6) + 6y2 * (2w3 + -1y2)) = 0
(-5w3y2 + 10w6 + (2w3 * 6y2 + -1y2 * 6y2)) = 0
(-5w3y2 + 10w6 + (12w3y2 + -6y4)) = 0

Reorder the terms:
(-5w3y2 + 12w3y2 + 10w6 + -6y4) = 0

Combine like terms: -5w3y2 + 12w3y2 = 7w3y2
(7w3y2 + 10w6 + -6y4) = 0

Solving
7w3y2 + 10w6 + -6y4 = 0

Solving for variable 'w'.

Factor a trinomial.
(2w3 + -1y2)(5w3 + 6y2) = 0


Subproblem 1
Set the factor '(2w3 + -1y2)' equal to zero and attempt to solve:

Simplifying
2w3 + -1y2 = 0

Solving
2w3 + -1y2 = 0

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

Add 'y2' to each side of the equation.
2w3 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
2w3 + 0 = 0 + y2
2w3 = 0 + y2
Remove the zero:
2w3 = y2

Divide each side by '2'.
w3 = 0.5y2

Simplifying
w3 = 0.5y2

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 '(5w3 + 6y2)' equal to zero and attempt to solve:

Simplifying
5w3 + 6y2 = 0

Solving
5w3 + 6y2 = 0

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

Add '-6y2' to each side of the equation.
5w3 + 6y2 + -6y2 = 0 + -6y2

Combine like terms: 6y2 + -6y2 = 0
5w3 + 0 = 0 + -6y2
5w3 = 0 + -6y2
Remove the zero:
5w3 = -6y2

Divide each side by '5'.
w3 = -1.2y2

Simplifying
w3 = -1.2y2

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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