3w(7w+4)=0

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Solution for 3w(7w+4)=0 equation: 


Simplifying
3w(7w + 4) = 0

Reorder the terms:
3w(4 + 7w) = 0
(4 * 3w + 7w * 3w) = 0
(12w + 21w2) = 0

Solving
12w + 21w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(4 + 7w) = 0

Ignore the factor 3.

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 + 7w)' equal to zero and attempt to solve:

Simplifying
4 + 7w = 0

Solving
4 + 7w = 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 + 7w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7w = 0 + -4
7w = 0 + -4

Combine like terms: 0 + -4 = -4
7w = -4

Divide each side by '7'.
w = -0.5714285714

Simplifying
w = -0.5714285714
Solution
w = {0, -0.5714285714}

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