(w-12)(5w-9)=0

Solution for (w-12)(5w-9)=0 equation:

Simplifying
(w + -12)(5w + -9) = 0

Reorder the terms:
(-12 + w)(5w + -9) = 0

Reorder the terms:
(-12 + w)(-9 + 5w) = 0

Multiply (-12 + w) * (-9 + 5w)
(-12(-9 + 5w) + w(-9 + 5w)) = 0
((-9 * -12 + 5w * -12) + w(-9 + 5w)) = 0
((108 + -60w) + w(-9 + 5w)) = 0
(108 + -60w + (-9 * w + 5w * w)) = 0
(108 + -60w + (-9w + 5w2)) = 0

Combine like terms: -60w + -9w = -69w
(108 + -69w + 5w2) = 0

Solving
108 + -69w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(9 + -5w)(12 + -1w) = 0

Subproblem 1
Set the factor '(9 + -5w)' equal to zero and attempt to solve:

Simplifying
9 + -5w = 0

Solving
9 + -5w = 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 + -5w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5w = 0 + -9
-5w = 0 + -9

Combine like terms: 0 + -9 = -9
-5w = -9

Divide each side by '-5'.
w = 1.8

Simplifying
w = 1.8
Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve:

Simplifying
12 + -1w = 0

Solving
12 + -1w = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = 0 + -12
-1w = 0 + -12

Combine like terms: 0 + -12 = -12
-1w = -12

Divide each side by '-1'.
w = 12

Simplifying
w = 12
Solution
w = {1.8, 12}