w^2+2w+56=0

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Solution for w^2+2w+56=0 equation:


Simplifying
w2 + 2w + 56 = 0

Reorder the terms:
56 + 2w + w2 = 0

Solving
56 + 2w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + 2w + -56 + w2 = 0 + -56

Reorder the terms:
56 + -56 + 2w + w2 = 0 + -56

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

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

The w term is 2w.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2w + 1 + w2 = -56 + 1

Reorder the terms:
1 + 2w + w2 = -56 + 1

Combine like terms: -56 + 1 = -55
1 + 2w + w2 = -55

Factor a perfect square on the left side:
(w + 1)(w + 1) = -55

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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