w^2=9(w-6)

Solution for w^2=9(w-6) equation:

Simplifying
w2 = 9(w + -6)

Reorder the terms:
w2 = 9(-6 + w)
w2 = (-6 * 9 + w * 9)
w2 = (-54 + 9w)

Solving
w2 = -54 + 9w

Solving for variable 'w'.

Reorder the terms:
54 + -9w + w2 = -54 + 9w + 54 + -9w

Reorder the terms:
54 + -9w + w2 = -54 + 54 + 9w + -9w

Combine like terms: -54 + 54 = 0
54 + -9w + w2 = 0 + 9w + -9w
54 + -9w + w2 = 9w + -9w

Combine like terms: 9w + -9w = 0
54 + -9w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -9w + -54 + w2 = 0 + -54

Reorder the terms:
54 + -54 + -9w + w2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -9w + w2 = 0 + -54
-9w + w2 = 0 + -54

Combine like terms: 0 + -54 = -54
-9w + w2 = -54

The w term is -9w.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9w + 20.25 + w2 = -54 + 20.25

Reorder the terms:
20.25 + -9w + w2 = -54 + 20.25

Combine like terms: -54 + 20.25 = -33.75
20.25 + -9w + w2 = -33.75

Factor a perfect square on the left side:
(w + -4.5)(w + -4.5) = -33.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.