5w(3w+6)+7w=

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Solution for 5w(3w+6)+7w= equation: 


Simplifying
5w(3w + 6) + 7w = 0

Reorder the terms:
5w(6 + 3w) + 7w = 0
(6 * 5w + 3w * 5w) + 7w = 0
(30w + 15w2) + 7w = 0

Reorder the terms:
30w + 7w + 15w2 = 0

Combine like terms: 30w + 7w = 37w
37w + 15w2 = 0

Solving
37w + 15w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(37 + 15w) = 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 '(37 + 15w)' equal to zero and attempt to solve:

Simplifying
37 + 15w = 0

Solving
37 + 15w = 0

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

Add '-37' to each side of the equation.
37 + -37 + 15w = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 15w = 0 + -37
15w = 0 + -37

Combine like terms: 0 + -37 = -37
15w = -37

Divide each side by '15'.
w = -2.466666667

Simplifying
w = -2.466666667
Solution
w = {0, -2.466666667}

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