w^2+12w+64=0

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Solution for w^2+12w+64=0 equation:


Simplifying
w2 + 12w + 64 = 0

Reorder the terms:
64 + 12w + w2 = 0

Solving
64 + 12w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 12w + -64 + w2 = 0 + -64

Reorder the terms:
64 + -64 + 12w + w2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 12w + w2 = 0 + -64
12w + w2 = 0 + -64

Combine like terms: 0 + -64 = -64
12w + w2 = -64

The w term is 12w.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12w + 36 + w2 = -64 + 36

Reorder the terms:
36 + 12w + w2 = -64 + 36

Combine like terms: -64 + 36 = -28
36 + 12w + w2 = -28

Factor a perfect square on the left side:
(w + 6)(w + 6) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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