3w^2-w^2+7w+12=

Solution for 3w^2-w^2+7w+12= equation:

Simplifying
3w2 + -1w2 + 7w + 12 = 0

Reorder the terms:
12 + 7w + 3w2 + -1w2 = 0

Combine like terms: 3w2 + -1w2 = 2w2
12 + 7w + 2w2 = 0

Solving
12 + 7w + 2w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
6 + 3.5w + w2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3.5w + -6 + w2 = 0 + -6

Reorder the terms:
6 + -6 + 3.5w + w2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3.5w + w2 = 0 + -6
3.5w + w2 = 0 + -6

Combine like terms: 0 + -6 = -6
3.5w + w2 = -6

The w term is 3.5w.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5w + 3.0625 + w2 = -6 + 3.0625

Reorder the terms:
3.0625 + 3.5w + w2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + 3.5w + w2 = -2.9375

Factor a perfect square on the left side:
(w + 1.75)(w + 1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.