(5w+12)w=0

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


Simplifying
(5w + 12) * w = 0

Reorder the terms:
(12 + 5w) * w = 0

Reorder the terms for easier multiplication:
w(12 + 5w) = 0
(12 * w + 5w * w) = 0
(12w + 5w2) = 0

Solving
12w + 5w2 = 0

Solving for variable 'w'.

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


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 '(12 + 5w)' equal to zero and attempt to solve:

Simplifying
12 + 5w = 0

Solving
12 + 5w = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5w = 0 + -12
5w = 0 + -12

Combine like terms: 0 + -12 = -12
5w = -12

Divide each side by '5'.
w = -2.4

Simplifying
w = -2.4
Solution
w = {0, -2.4}

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