(2w-4)w=160

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Solution for (2w-4)w=160 equation: 


Simplifying
(2w + -4) * w = 160

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

Reorder the terms for easier multiplication:
w(-4 + 2w) = 160
(-4 * w + 2w * w) = 160
(-4w + 2w2) = 160

Solving
-4w + 2w2 = 160

Solving for variable 'w'.

Reorder the terms:
-160 + -4w + 2w2 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + -4w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-80 + -2w + w2) = 0

Factor a trinomial.
2((-8 + -1w)(10 + -1w)) = 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 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 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 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

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

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