(w-3)(w-6)=

Solution for (w-3)(w-6)= equation:

Simplifying
(w + -3)(w + -6) = 0

Reorder the terms:
(-3 + w)(w + -6) = 0

Reorder the terms:
(-3 + w)(-6 + w) = 0

Multiply (-3 + w) * (-6 + w)
(-3(-6 + w) + w(-6 + w)) = 0
((-6 * -3 + w * -3) + w(-6 + w)) = 0
((18 + -3w) + w(-6 + w)) = 0
(18 + -3w + (-6 * w + w * w)) = 0
(18 + -3w + (-6w + w2)) = 0

Combine like terms: -3w + -6w = -9w
(18 + -9w + w2) = 0

Solving
18 + -9w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + -1w)(6 + -1w) = 0

Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Subproblem 2
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {3, 6}