w^2-10w+37=0

Solution for w^2-10w+37=0 equation:

Simplifying
w2 + -10w + 37 = 0

Reorder the terms:
37 + -10w + w2 = 0

Solving
37 + -10w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + -10w + -37 + w2 = 0 + -37

Reorder the terms:
37 + -37 + -10w + w2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -10w + w2 = 0 + -37
-10w + w2 = 0 + -37

Combine like terms: 0 + -37 = -37
-10w + w2 = -37

The w term is -10w.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10w + 25 + w2 = -37 + 25

Reorder the terms:
25 + -10w + w2 = -37 + 25

Combine like terms: -37 + 25 = -12
25 + -10w + w2 = -12

Factor a perfect square on the left side:
(w + -5)(w + -5) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.