(2w)(3w+4)=0

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Solution for (2w)(3w+4)=0 equation: 


Simplifying
(2w)(3w + 4) = 0

Remove parenthesis around (2w)
2w(3w + 4) = 0

Reorder the terms:
2w(4 + 3w) = 0
(4 * 2w + 3w * 2w) = 0
(8w + 6w2) = 0

Solving
8w + 6w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(4 + 3w) = 0

Ignore the factor 2.

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 '(4 + 3w)' equal to zero and attempt to solve:

Simplifying
4 + 3w = 0

Solving
4 + 3w = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3w = 0 + -4
3w = 0 + -4

Combine like terms: 0 + -4 = -4
3w = -4

Divide each side by '3'.
w = -1.333333333

Simplifying
w = -1.333333333
Solution
w = {0, -1.333333333}

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