w^2+8w+19=0

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Solution for w^2+8w+19=0 equation:


Simplifying
w2 + 8w + 19 = 0

Reorder the terms:
19 + 8w + w2 = 0

Solving
19 + 8w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + 8w + -19 + w2 = 0 + -19

Reorder the terms:
19 + -19 + 8w + w2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8w + w2 = 0 + -19
8w + w2 = 0 + -19

Combine like terms: 0 + -19 = -19
8w + w2 = -19

The w term is 8w.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8w + 16 + w2 = -19 + 16

Reorder the terms:
16 + 8w + w2 = -19 + 16

Combine like terms: -19 + 16 = -3
16 + 8w + w2 = -3

Factor a perfect square on the left side:
(w + 4)(w + 4) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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