4w(w+3)=w-15

Solution for 4w(w+3)=w-15 equation:

Simplifying
4w(w + 3) = w + -15

Reorder the terms:
4w(3 + w) = w + -15
(3 * 4w + w * 4w) = w + -15
(12w + 4w2) = w + -15

Reorder the terms:
12w + 4w2 = -15 + w

Solving
12w + 4w2 = -15 + w

Solving for variable 'w'.

Reorder the terms:
15 + 12w + -1w + 4w2 = -15 + w + 15 + -1w

Combine like terms: 12w + -1w = 11w
15 + 11w + 4w2 = -15 + w + 15 + -1w

Reorder the terms:
15 + 11w + 4w2 = -15 + 15 + w + -1w

Combine like terms: -15 + 15 = 0
15 + 11w + 4w2 = 0 + w + -1w
15 + 11w + 4w2 = w + -1w

Combine like terms: w + -1w = 0
15 + 11w + 4w2 = 0

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

Divide each side by '4'.
3.75 + 2.75w + w2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + 2.75w + -3.75 + w2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + 2.75w + w2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 2.75w + w2 = 0 + -3.75
2.75w + w2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
2.75w + w2 = -3.75

The w term is 2.75w.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75w + 1.890625 + w2 = -3.75 + 1.890625

Reorder the terms:
1.890625 + 2.75w + w2 = -3.75 + 1.890625

Combine like terms: -3.75 + 1.890625 = -1.859375
1.890625 + 2.75w + w2 = -1.859375

Factor a perfect square on the left side:
(w + 1.375)(w + 1.375) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.