(w-9)(w-8)=0

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Solution for (w-9)(w-8)=0 equation: 


Simplifying
(w + -9)(w + -8) = 0

Reorder the terms:
(-9 + w)(w + -8) = 0

Reorder the terms:
(-9 + w)(-8 + w) = 0

Multiply (-9 + w) * (-8 + w)
(-9(-8 + w) + w(-8 + w)) = 0
((-8 * -9 + w * -9) + w(-8 + w)) = 0
((72 + -9w) + w(-8 + w)) = 0
(72 + -9w + (-8 * w + w * w)) = 0
(72 + -9w + (-8w + w2)) = 0

Combine like terms: -9w + -8w = -17w
(72 + -17w + w2) = 0

Solving
72 + -17w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(9 + -1w) = 0


Subproblem 1
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

Subproblem 2
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
Solution
w = {8, 9}

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