160=(2W+4)W

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Solution for 160=(2W+4)W equation: 


Simplifying
160 = (2W + 4) * W

Reorder the terms:
160 = (4 + 2W) * W

Reorder the terms for easier multiplication:
160 = W(4 + 2W)
160 = (4 * W + 2W * W)
160 = (4W + 2W2)

Solving
160 = 4W + 2W2

Solving for variable 'W'.

Reorder the terms:
160 + -4W + -2W2 = 4W + -4W + 2W2 + -2W2

Combine like terms: 4W + -4W = 0
160 + -4W + -2W2 = 0 + 2W2 + -2W2
160 + -4W + -2W2 = 2W2 + -2W2

Combine like terms: 2W2 + -2W2 = 0
160 + -4W + -2W2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(80 + -2W + -1W2) = 0

Factor a trinomial.
2((8 + -1W)(10 + W)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -1W)' equal to zero and attempt to solve:

Simplifying
8 + -1W = 0

Solving
8 + -1W = 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 + -1W = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1W = 0 + -8
-1W = 0 + -8

Combine like terms: 0 + -8 = -8
-1W = -8

Divide each side by '-1'.
W = 8

Simplifying
W = 8

Subproblem 2
Set the factor '(10 + W)' equal to zero and attempt to solve:

Simplifying
10 + W = 0

Solving
10 + W = 0

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

Add '-10' to each side of the equation.
10 + -10 + W = 0 + -10

Combine like terms: 10 + -10 = 0
0 + W = 0 + -10
W = 0 + -10

Combine like terms: 0 + -10 = -10
W = -10

Simplifying
W = -10
Solution
W = {8, -10}

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