720=(2w-4)(w)

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Solution for 720=(2w-4)(w) equation: 


Simplifying
720 = (2w + -4)(w)

Reorder the terms:
720 = (-4 + 2w)(w)

Reorder the terms for easier multiplication:
720 = w(-4 + 2w)
720 = (-4 * w + 2w * w)
720 = (-4w + 2w2)

Solving
720 = -4w + 2w2

Solving for variable 'w'.

Reorder the terms:
720 + 4w + -2w2 = -4w + 4w + 2w2 + -2w2

Combine like terms: -4w + 4w = 0
720 + 4w + -2w2 = 0 + 2w2 + -2w2
720 + 4w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
720 + 4w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(360 + 2w + -1w2) = 0

Factor a trinomial.
2((20 + -1w)(18 + w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + -1w)' equal to zero and attempt to solve:

Simplifying
20 + -1w = 0

Solving
20 + -1w = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1w = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1w = 0 + -20
-1w = 0 + -20

Combine like terms: 0 + -20 = -20
-1w = -20

Divide each side by '-1'.
w = 20

Simplifying
w = 20

Subproblem 2
Set the factor '(18 + w)' equal to zero and attempt to solve:

Simplifying
18 + w = 0

Solving
18 + w = 0

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

Add '-18' to each side of the equation.
18 + -18 + w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + w = 0 + -18
w = 0 + -18

Combine like terms: 0 + -18 = -18
w = -18

Simplifying
w = -18
Solution
w = {20, -18}

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