w^2=9(w-8)

Solution for w^2=9(w-8) equation:

Simplifying
w2 = 9(w + -8)

Reorder the terms:
w2 = 9(-8 + w)
w2 = (-8 * 9 + w * 9)
w2 = (-72 + 9w)

Solving
w2 = -72 + 9w

Solving for variable 'w'.

Reorder the terms:
72 + -9w + w2 = -72 + 9w + 72 + -9w

Reorder the terms:
72 + -9w + w2 = -72 + 72 + 9w + -9w

Combine like terms: -72 + 72 = 0
72 + -9w + w2 = 0 + 9w + -9w
72 + -9w + w2 = 9w + -9w

Combine like terms: 9w + -9w = 0
72 + -9w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -9w + -72 + w2 = 0 + -72

Reorder the terms:
72 + -72 + -9w + w2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -9w + w2 = 0 + -72
-9w + w2 = 0 + -72

Combine like terms: 0 + -72 = -72
-9w + w2 = -72

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 = -72 + 20.25

Reorder the terms:
20.25 + -9w + w2 = -72 + 20.25

Combine like terms: -72 + 20.25 = -51.75
20.25 + -9w + w2 = -51.75

Factor a perfect square on the left side:
(w + -4.5)(w + -4.5) = -51.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.