64=2(3w+8)2w

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Solution for 64=2(3w+8)2w equation: 


Simplifying
64 = 2(3w + 8) * 2w

Reorder the terms:
64 = 2(8 + 3w) * 2w

Reorder the terms for easier multiplication:
64 = 2 * 2w(8 + 3w)

Multiply 2 * 2
64 = 4w(8 + 3w)
64 = (8 * 4w + 3w * 4w)
64 = (32w + 12w2)

Solving
64 = 32w + 12w2

Solving for variable 'w'.

Reorder the terms:
64 + -32w + -12w2 = 32w + -32w + 12w2 + -12w2

Combine like terms: 32w + -32w = 0
64 + -32w + -12w2 = 0 + 12w2 + -12w2
64 + -32w + -12w2 = 12w2 + -12w2

Combine like terms: 12w2 + -12w2 = 0
64 + -32w + -12w2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -8w + -3w2) = 0

Factor a trinomial.
4((4 + -3w)(4 + w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -3w)' equal to zero and attempt to solve:

Simplifying
4 + -3w = 0

Solving
4 + -3w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3w = 0 + -4
-3w = 0 + -4

Combine like terms: 0 + -4 = -4
-3w = -4

Divide each side by '-3'.
w = 1.333333333

Simplifying
w = 1.333333333

Subproblem 2
Set the factor '(4 + w)' equal to zero and attempt to solve:

Simplifying
4 + w = 0

Solving
4 + w = 0

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

Add '-4' to each side of the equation.
4 + -4 + w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + w = 0 + -4
w = 0 + -4

Combine like terms: 0 + -4 = -4
w = -4

Simplifying
w = -4
Solution
w = {1.333333333, -4}

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