0=2w^2+4w-16

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Solution for 0=2w^2+4w-16 equation: 


Simplifying
0 = 2w2 + 4w + -16

Reorder the terms:
0 = -16 + 4w + 2w2

Solving
0 = -16 + 4w + 2w2

Solving for variable 'w'.

Combine like terms: 0 + 16 = 16
16 + -4w + -2w2 = -16 + 4w + 2w2 + 16 + -4w + -2w2

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

Combine like terms: -16 + 16 = 0
16 + -4w + -2w2 = 0 + 4w + -4w + 2w2 + -2w2
16 + -4w + -2w2 = 4w + -4w + 2w2 + -2w2

Combine like terms: 4w + -4w = 0
16 + -4w + -2w2 = 0 + 2w2 + -2w2
16 + -4w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
16 + -4w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -2w + -1w2) = 0

Factor a trinomial.
2((2 + -1w)(4 + w)) = 0

Ignore the factor 2.

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 '(4 + w)' equal to zero and attempt to solve:

Simplifying
4 + w = 0

Solving
4 + w = 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 + w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + w = 0 + -4
w = 0 + -4

Combine like terms: 0 + -4 = -4
w = -4

Simplifying
w = -4
Solution
w = {2, -4}

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