2w(w+5)-5w=

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


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

Reorder the terms:
2w(5 + w) + -5w = 0
(5 * 2w + w * 2w) + -5w = 0
(10w + 2w2) + -5w = 0

Reorder the terms:
10w + -5w + 2w2 = 0

Combine like terms: 10w + -5w = 5w
5w + 2w2 = 0

Solving
5w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(5 + 2w) = 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 '(5 + 2w)' equal to zero and attempt to solve:

Simplifying
5 + 2w = 0

Solving
5 + 2w = 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 + 2w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2w = 0 + -5
2w = 0 + -5

Combine like terms: 0 + -5 = -5
2w = -5

Divide each side by '2'.
w = -2.5

Simplifying
w = -2.5
Solution
w = {0, -2.5}

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