(2w+2b)(3w+5b)=

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


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

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

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

Multiply (2b + 2w) * (5b + 3w)
(2b * (5b + 3w) + 2w * (5b + 3w)) = 0
((5b * 2b + 3w * 2b) + 2w * (5b + 3w)) = 0

Reorder the terms:
((6bw + 10b2) + 2w * (5b + 3w)) = 0
((6bw + 10b2) + 2w * (5b + 3w)) = 0
(6bw + 10b2 + (5b * 2w + 3w * 2w)) = 0
(6bw + 10b2 + (10bw + 6w2)) = 0

Reorder the terms:
(6bw + 10bw + 10b2 + 6w2) = 0

Combine like terms: 6bw + 10bw = 16bw
(16bw + 10b2 + 6w2) = 0

Solving
16bw + 10b2 + 6w2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8bw + 5b2 + 3w2) = 0

Factor a trinomial.
2((5b + 3w)(b + w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5b + 3w)' equal to zero and attempt to solve:

Simplifying
5b + 3w = 0

Solving
5b + 3w = 0

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

Add '-3w' to each side of the equation.
5b + 3w + -3w = 0 + -3w

Combine like terms: 3w + -3w = 0
5b + 0 = 0 + -3w
5b = 0 + -3w
Remove the zero:
5b = -3w

Divide each side by '5'.
b = -0.6w

Simplifying
b = -0.6w

Subproblem 2
Set the factor '(b + w)' equal to zero and attempt to solve:

Simplifying
b + w = 0

Solving
b + w = 0

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

Add '-1w' to each side of the equation.
b + w + -1w = 0 + -1w

Combine like terms: w + -1w = 0
b + 0 = 0 + -1w
b = 0 + -1w
Remove the zero:
b = -1w

Simplifying
b = -1w
Solution
b = {-0.6w, -1w}

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