2w^2+14w+25=(w+3)

Solution for 2w^2+14w+25=(w+3) equation:

Simplifying
2w2 + 14w + 25 = (w + 3)

Reorder the terms:
25 + 14w + 2w2 = (w + 3)

Reorder the terms:
25 + 14w + 2w2 = (3 + w)

Remove parenthesis around (3 + w)
25 + 14w + 2w2 = 3 + w

Solving
25 + 14w + 2w2 = 3 + w

Solving for variable 'w'.

Reorder the terms:
25 + -3 + 14w + -1w + 2w2 = 3 + w + -3 + -1w

Combine like terms: 25 + -3 = 22
22 + 14w + -1w + 2w2 = 3 + w + -3 + -1w

Combine like terms: 14w + -1w = 13w
22 + 13w + 2w2 = 3 + w + -3 + -1w

Reorder the terms:
22 + 13w + 2w2 = 3 + -3 + w + -1w

Combine like terms: 3 + -3 = 0
22 + 13w + 2w2 = 0 + w + -1w
22 + 13w + 2w2 = w + -1w

Combine like terms: w + -1w = 0
22 + 13w + 2w2 = 0

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

Divide each side by '2'.
11 + 6.5w + w2 = 0

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 6.5w + -11 + w2 = 0 + -11

Reorder the terms:
11 + -11 + 6.5w + w2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6.5w + w2 = 0 + -11
6.5w + w2 = 0 + -11

Combine like terms: 0 + -11 = -11
6.5w + w2 = -11

The w term is 6.5w.  Take half its coefficient (3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
6.5w + 10.5625 + w2 = -11 + 10.5625

Reorder the terms:
10.5625 + 6.5w + w2 = -11 + 10.5625

Combine like terms: -11 + 10.5625 = -0.4375
10.5625 + 6.5w + w2 = -0.4375

Factor a perfect square on the left side:
(w + 3.25)(w + 3.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.