w^2+w+12=

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

Simplifying
w2 + w + 12 = 0

Reorder the terms:
12 + w + w2 = 0

Solving
12 + w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The w term is w.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
w + 0.25 + w2 = -12 + 0.25

Reorder the terms:
0.25 + w + w2 = -12 + 0.25

Combine like terms: -12 + 0.25 = -11.75
0.25 + w + w2 = -11.75

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.