w^2-2w=-67

Solution for w^2-2w=-67 equation:

Simplifying
w2 + -2w = -67

Reorder the terms:
-2w + w2 = -67

Solving
-2w + w2 = -67

Solving for variable 'w'.

Reorder the terms:
67 + -2w + w2 = -67 + 67

Combine like terms: -67 + 67 = 0
67 + -2w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-67' to each side of the equation.
67 + -2w + -67 + w2 = 0 + -67

Reorder the terms:
67 + -67 + -2w + w2 = 0 + -67

Combine like terms: 67 + -67 = 0
0 + -2w + w2 = 0 + -67
-2w + w2 = 0 + -67

Combine like terms: 0 + -67 = -67
-2w + w2 = -67

The w term is -2w.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2w + 1 + w2 = -67 + 1

Reorder the terms:
1 + -2w + w2 = -67 + 1

Combine like terms: -67 + 1 = -66
1 + -2w + w2 = -66

Factor a perfect square on the left side:
(w + -1)(w + -1) = -66

Can't calculate square root of the right side.

The solution to this equation could not be determined.