5w(12w+7)=0

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Solution for 5w(12w+7)=0 equation: 


Simplifying
5w(12w + 7) = 0

Reorder the terms:
5w(7 + 12w) = 0
(7 * 5w + 12w * 5w) = 0
(35w + 60w2) = 0

Solving
35w + 60w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w'.
5w(7 + 12w) = 0

Ignore the factor 5.

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 + 12w)' equal to zero and attempt to solve:

Simplifying
7 + 12w = 0

Solving
7 + 12w = 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 + 12w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12w = 0 + -7
12w = 0 + -7

Combine like terms: 0 + -7 = -7
12w = -7

Divide each side by '12'.
w = -0.5833333333

Simplifying
w = -0.5833333333
Solution
w = {0, -0.5833333333}

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