w(3w+2)+5w=

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Solution for w(3w+2)+5w= equation: 


Simplifying
w(3w + 2) + 5w = 0

Reorder the terms:
w(2 + 3w) + 5w = 0
(2 * w + 3w * w) + 5w = 0
(2w + 3w2) + 5w = 0

Reorder the terms:
2w + 5w + 3w2 = 0

Combine like terms: 2w + 5w = 7w
7w + 3w2 = 0

Solving
7w + 3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(7 + 3w) = 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 '(7 + 3w)' equal to zero and attempt to solve:

Simplifying
7 + 3w = 0

Solving
7 + 3w = 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 + 3w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3w = 0 + -7
3w = 0 + -7

Combine like terms: 0 + -7 = -7
3w = -7

Divide each side by '3'.
w = -2.333333333

Simplifying
w = -2.333333333
Solution
w = {0, -2.333333333}

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