w^2-3w+36=0

Solution for w^2-3w+36=0 equation:

Simplifying
w2 + -3w + 36 = 0

Reorder the terms:
36 + -3w + w2 = 0

Solving
36 + -3w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -3w + -36 + w2 = 0 + -36

Reorder the terms:
36 + -36 + -3w + w2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -3w + w2 = 0 + -36
-3w + w2 = 0 + -36

Combine like terms: 0 + -36 = -36
-3w + w2 = -36

The w term is -3w.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3w + 2.25 + w2 = -36 + 2.25

Reorder the terms:
2.25 + -3w + w2 = -36 + 2.25

Combine like terms: -36 + 2.25 = -33.75
2.25 + -3w + w2 = -33.75

Factor a perfect square on the left side:
(w + -1.5)(w + -1.5) = -33.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.