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

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


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

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

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

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

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

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