w^2=8w-41

Solution for w^2=8w-41 equation:

Simplifying
w2 = 8w + -41

Reorder the terms:
w2 = -41 + 8w

Solving
w2 = -41 + 8w

Solving for variable 'w'.

Reorder the terms:
41 + -8w + w2 = -41 + 8w + 41 + -8w

Reorder the terms:
41 + -8w + w2 = -41 + 41 + 8w + -8w

Combine like terms: -41 + 41 = 0
41 + -8w + w2 = 0 + 8w + -8w
41 + -8w + w2 = 8w + -8w

Combine like terms: 8w + -8w = 0
41 + -8w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-41' to each side of the equation.
41 + -8w + -41 + w2 = 0 + -41

Reorder the terms:
41 + -41 + -8w + w2 = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -8w + w2 = 0 + -41
-8w + w2 = 0 + -41

Combine like terms: 0 + -41 = -41
-8w + w2 = -41

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 = -41 + 16

Reorder the terms:
16 + -8w + w2 = -41 + 16

Combine like terms: -41 + 16 = -25
16 + -8w + w2 = -25

Factor a perfect square on the left side:
(w + -4)(w + -4) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.