64=w(2w+8)

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


Simplifying
64 = w(2w + 8)

Reorder the terms:
64 = w(8 + 2w)
64 = (8 * w + 2w * w)
64 = (8w + 2w2)

Solving
64 = 8w + 2w2

Solving for variable 'w'.

Reorder the terms:
64 + -8w + -2w2 = 8w + -8w + 2w2 + -2w2

Combine like terms: 8w + -8w = 0
64 + -8w + -2w2 = 0 + 2w2 + -2w2
64 + -8w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
64 + -8w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -4w + -1w2) = 0

Factor a trinomial.
2((4 + -1w)(8 + w)) = 0

Ignore the factor 2.

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

Simplifying
4 + -1w = 0

Solving
4 + -1w = 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 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4

Subproblem 2
Set the factor '(8 + w)' equal to zero and attempt to solve:

Simplifying
8 + w = 0

Solving
8 + w = 0

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

Add '-8' to each side of the equation.
8 + -8 + w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + w = 0 + -8
w = 0 + -8

Combine like terms: 0 + -8 = -8
w = -8

Simplifying
w = -8
Solution
w = {4, -8}

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