56=(4w-2)w

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Solution for 56=(4w-2)w equation: 


Simplifying
56 = (4w + -2) * w

Reorder the terms:
56 = (-2 + 4w) * w

Reorder the terms for easier multiplication:
56 = w(-2 + 4w)
56 = (-2 * w + 4w * w)
56 = (-2w + 4w2)

Solving
56 = -2w + 4w2

Solving for variable 'w'.

Reorder the terms:
56 + 2w + -4w2 = -2w + 2w + 4w2 + -4w2

Combine like terms: -2w + 2w = 0
56 + 2w + -4w2 = 0 + 4w2 + -4w2
56 + 2w + -4w2 = 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
56 + 2w + -4w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + w + -2w2) = 0

Factor a trinomial.
2((4 + -1w)(7 + 2w)) = 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 '(7 + 2w)' equal to zero and attempt to solve:

Simplifying
7 + 2w = 0

Solving
7 + 2w = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2w = 0 + -7
2w = 0 + -7

Combine like terms: 0 + -7 = -7
2w = -7

Divide each side by '2'.
w = -3.5

Simplifying
w = -3.5
Solution
w = {4, -3.5}

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