6w(13w+7)=0

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Solution for 6w(13w+7)=0 equation: 


Simplifying
6w(13w + 7) = 0

Reorder the terms:
6w(7 + 13w) = 0
(7 * 6w + 13w * 6w) = 0
(42w + 78w2) = 0

Solving
42w + 78w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '6w'.
6w(7 + 13w) = 0

Ignore the factor 6.

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 '(7 + 13w)' equal to zero and attempt to solve:

Simplifying
7 + 13w = 0

Solving
7 + 13w = 0

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

Add '-7' to each side of the equation.
7 + -7 + 13w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 13w = 0 + -7
13w = 0 + -7

Combine like terms: 0 + -7 = -7
13w = -7

Divide each side by '13'.
w = -0.5384615385

Simplifying
w = -0.5384615385
Solution
w = {0, -0.5384615385}

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