(4w)(8w+3y)=

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Solution for (4w)(8w+3y)= equation: 


Simplifying
(4w)(8w + 3y) = 0

Remove parenthesis around (4w)
4w(8w + 3y) = 0
(8w * 4w + 3y * 4w) = 0

Reorder the terms:
(12wy + 32w2) = 0
(12wy + 32w2) = 0

Solving
12wy + 32w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4w'.
4w(3y + 8w) = 0

Ignore the factor 4.

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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(3y + 8w)' equal to zero and attempt to solve:

Simplifying
3y + 8w = 0

Reorder the terms:
8w + 3y = 0

Solving
8w + 3y = 0

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

Add '-3y' to each side of the equation.
8w + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
8w + 0 = 0 + -3y
8w = 0 + -3y
Remove the zero:
8w = -3y

Divide each side by '8'.
w = -0.375y

Simplifying
w = -0.375y
Solution
w = {0, -0.375y}

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