6w(7w+5)=

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Solution for 6w(7w+5)= equation: 


Simplifying
6w(7w + 5) = 0

Reorder the terms:
6w(5 + 7w) = 0
(5 * 6w + 7w * 6w) = 0
(30w + 42w2) = 0

Solving
30w + 42w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '6w'.
6w(5 + 7w) = 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 '(5 + 7w)' equal to zero and attempt to solve:

Simplifying
5 + 7w = 0

Solving
5 + 7w = 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 + 7w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7w = 0 + -5
7w = 0 + -5

Combine like terms: 0 + -5 = -5
7w = -5

Divide each side by '7'.
w = -0.7142857143

Simplifying
w = -0.7142857143
Solution
w = {0, -0.7142857143}

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