3w(8w+5)=0

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Solution for 3w(8w+5)=0 equation: 


Simplifying
3w(8w + 5) = 0

Reorder the terms:
3w(5 + 8w) = 0
(5 * 3w + 8w * 3w) = 0
(15w + 24w2) = 0

Solving
15w + 24w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(5 + 8w) = 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 '(5 + 8w)' equal to zero and attempt to solve:

Simplifying
5 + 8w = 0

Solving
5 + 8w = 0

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

Add '-5' to each side of the equation.
5 + -5 + 8w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8w = 0 + -5
8w = 0 + -5

Combine like terms: 0 + -5 = -5
8w = -5

Divide each side by '8'.
w = -0.625

Simplifying
w = -0.625
Solution
w = {0, -0.625}

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