w^2-4w=16+2w

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Solution for w^2-4w=16+2w equation: 


Simplifying
w2 + -4w = 16 + 2w

Reorder the terms:
-4w + w2 = 16 + 2w

Solving
-4w + w2 = 16 + 2w

Solving for variable 'w'.

Reorder the terms:
-16 + -4w + -2w + w2 = 16 + 2w + -16 + -2w

Combine like terms: -4w + -2w = -6w
-16 + -6w + w2 = 16 + 2w + -16 + -2w

Reorder the terms:
-16 + -6w + w2 = 16 + -16 + 2w + -2w

Combine like terms: 16 + -16 = 0
-16 + -6w + w2 = 0 + 2w + -2w
-16 + -6w + w2 = 2w + -2w

Combine like terms: 2w + -2w = 0
-16 + -6w + w2 = 0

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


Subproblem 1
Set the factor '(-2 + -1w)' equal to zero and attempt to solve:

Simplifying
-2 + -1w = 0

Solving
-2 + -1w = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1w = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1w = 0 + 2
-1w = 0 + 2

Combine like terms: 0 + 2 = 2
-1w = 2

Divide each side by '-1'.
w = -2

Simplifying
w = -2

Subproblem 2
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
Solution
w = {-2, 8}

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