(6-w)w=55

Solution for (6-w)w=55 equation:

Simplifying
(6 + -1w) * w = 55

Reorder the terms for easier multiplication:
w(6 + -1w) = 55
(6 * w + -1w * w) = 55
(6w + -1w2) = 55

Solving
6w + -1w2 = 55

Solving for variable 'w'.

Reorder the terms:
-55 + 6w + -1w2 = 55 + -55

Combine like terms: 55 + -55 = 0
-55 + 6w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
55 + -6w + w2 = 0

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -6w + -55 + w2 = 0 + -55

Reorder the terms:
55 + -55 + -6w + w2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -6w + w2 = 0 + -55
-6w + w2 = 0 + -55

Combine like terms: 0 + -55 = -55
-6w + w2 = -55

The w term is -6w.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6w + 9 + w2 = -55 + 9

Reorder the terms:
9 + -6w + w2 = -55 + 9

Combine like terms: -55 + 9 = -46
9 + -6w + w2 = -46

Factor a perfect square on the left side:
(w + -3)(w + -3) = -46

Can't calculate square root of the right side.

The solution to this equation could not be determined.