w(2w+5x)+w(4x+3w)=

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Solution for w(2w+5x)+w(4x+3w)= equation: 


Simplifying
w(2w + 5x) + w(4x + 3w) = 0
(2w * w + 5x * w) + w(4x + 3w) = 0

Reorder the terms:
(5wx + 2w2) + w(4x + 3w) = 0
(5wx + 2w2) + w(4x + 3w) = 0

Reorder the terms:
5wx + 2w2 + w(3w + 4x) = 0
5wx + 2w2 + (3w * w + 4x * w) = 0

Reorder the terms:
5wx + 2w2 + (4wx + 3w2) = 0
5wx + 2w2 + (4wx + 3w2) = 0

Reorder the terms:
5wx + 4wx + 2w2 + 3w2 = 0

Combine like terms: 5wx + 4wx = 9wx
9wx + 2w2 + 3w2 = 0

Combine like terms: 2w2 + 3w2 = 5w2
9wx + 5w2 = 0

Solving
9wx + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(9x + 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 '(9x + 5w)' equal to zero and attempt to solve:

Simplifying
9x + 5w = 0

Reorder the terms:
5w + 9x = 0

Solving
5w + 9x = 0

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

Add '-9x' to each side of the equation.
5w + 9x + -9x = 0 + -9x

Combine like terms: 9x + -9x = 0
5w + 0 = 0 + -9x
5w = 0 + -9x
Remove the zero:
5w = -9x

Divide each side by '5'.
w = -1.8x

Simplifying
w = -1.8x
Solution
w = {0, -1.8x}

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