4w(13w+9)=0

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Solution for 4w(13w+9)=0 equation: 


Simplifying
4w(13w + 9) = 0

Reorder the terms:
4w(9 + 13w) = 0
(9 * 4w + 13w * 4w) = 0
(36w + 52w2) = 0

Solving
36w + 52w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4w'.
4w(9 + 13w) = 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 '(9 + 13w)' equal to zero and attempt to solve:

Simplifying
9 + 13w = 0

Solving
9 + 13w = 0

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

Add '-9' to each side of the equation.
9 + -9 + 13w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 13w = 0 + -9
13w = 0 + -9

Combine like terms: 0 + -9 = -9
13w = -9

Divide each side by '13'.
w = -0.6923076923

Simplifying
w = -0.6923076923
Solution
w = {0, -0.6923076923}

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