(w-8)(w-1)=0

Solution for (w-8)(w-1)=0 equation:

Simplifying
(w + -8)(w + -1) = 0

Reorder the terms:
(-8 + w)(w + -1) = 0

Reorder the terms:
(-8 + w)(-1 + w) = 0

Multiply (-8 + w) * (-1 + w)
(-8(-1 + w) + w(-1 + w)) = 0
((-1 * -8 + w * -8) + w(-1 + w)) = 0
((8 + -8w) + w(-1 + w)) = 0
(8 + -8w + (-1 * w + w * w)) = 0
(8 + -8w + (-1w + w2)) = 0

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

Solving
8 + -9w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + -1w)(8 + -1w) = 0

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 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 + -1w = 0 + -1

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

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

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

Simplifying
w = 1
Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

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

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

Divide each side by '-1'.
w = 8

Simplifying
w = 8
Solution
w = {1, 8}