w^2-8w+47=0

Solution for w^2-8w+47=0 equation:

Simplifying
w2 + -8w + 47 = 0

Reorder the terms:
47 + -8w + w2 = 0

Solving
47 + -8w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-47' to each side of the equation.
47 + -8w + -47 + w2 = 0 + -47

Reorder the terms:
47 + -47 + -8w + w2 = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -8w + w2 = 0 + -47
-8w + w2 = 0 + -47

Combine like terms: 0 + -47 = -47
-8w + w2 = -47

The w term is -8w.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8w + 16 + w2 = -47 + 16

Reorder the terms:
16 + -8w + w2 = -47 + 16

Combine like terms: -47 + 16 = -31
16 + -8w + w2 = -31

Factor a perfect square on the left side:
(w + -4)(w + -4) = -31

Can't calculate square root of the right side.

The solution to this equation could not be determined.