(6w+w)(4w+2)=0

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Solution for (6w+w)(4w+2)=0 equation: 


Simplifying
(6w + w)(4w + 2) = 0

Combine like terms: 6w + w = 7w
(7w)(4w + 2) = 0

Remove parenthesis around (7w)
7w(4w + 2) = 0

Reorder the terms:
7w(2 + 4w) = 0
(2 * 7w + 4w * 7w) = 0
(14w + 28w2) = 0

Solving
14w + 28w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '14w'.
14w(1 + 2w) = 0

Ignore the factor 14.

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 '(1 + 2w)' equal to zero and attempt to solve:

Simplifying
1 + 2w = 0

Solving
1 + 2w = 0

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

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

Combine like terms: 1 + -1 = 0
0 + 2w = 0 + -1
2w = 0 + -1

Combine like terms: 0 + -1 = -1
2w = -1

Divide each side by '2'.
w = -0.5

Simplifying
w = -0.5
Solution
w = {0, -0.5}

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