9=w(w-8)

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

Simplifying
9 = w(w + -8)

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

Solving
9 = -8w + w2

Solving for variable 'w'.

Reorder the terms:
9 + 8w + -1w2 = -8w + 8w + w2 + -1w2

Combine like terms: -8w + 8w = 0
9 + 8w + -1w2 = 0 + w2 + -1w2
9 + 8w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
9 + 8w + -1w2 = 0

Factor a trinomial.
(9 + -1w)(1 + w) = 0

Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve:

Simplifying
9 + -1w = 0

Solving
9 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w = 0 + -9
-1w = 0 + -9

Combine like terms: 0 + -9 = -9
-1w = -9

Divide each side by '-1'.
w = 9

Simplifying
w = 9
Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve:

Simplifying
1 + w = 0

Solving
1 + w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + w = 0 + -1
w = 0 + -1

Combine like terms: 0 + -1 = -1
w = -1

Simplifying
w = -1
Solution
w = {9, -1}