2720=17(w(2w+4))

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Solution for 2720=17(w(2w+4)) equation: 


Simplifying
2720 = 17(w(2w + 4))

Reorder the terms:
2720 = 17(w(4 + 2w))
2720 = 17((4 * w + 2w * w))
2720 = 17((4w + 2w2))
2720 = (4w * 17 + 2w2 * 17)
2720 = (68w + 34w2)

Solving
2720 = 68w + 34w2

Solving for variable 'w'.

Reorder the terms:
2720 + -68w + -34w2 = 68w + -68w + 34w2 + -34w2

Combine like terms: 68w + -68w = 0
2720 + -68w + -34w2 = 0 + 34w2 + -34w2
2720 + -68w + -34w2 = 34w2 + -34w2

Combine like terms: 34w2 + -34w2 = 0
2720 + -68w + -34w2 = 0

Factor out the Greatest Common Factor (GCF), '34'.
34(80 + -2w + -1w2) = 0

Factor a trinomial.
34((8 + -1w)(10 + w)) = 0

Ignore the factor 34.

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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