(9-w)(3w-2)=0

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Solution for (9-w)(3w-2)=0 equation: 


Simplifying
(9 + -1w)(3w + -2) = 0

Reorder the terms:
(9 + -1w)(-2 + 3w) = 0

Multiply (9 + -1w) * (-2 + 3w)
(9(-2 + 3w) + -1w * (-2 + 3w)) = 0
((-2 * 9 + 3w * 9) + -1w * (-2 + 3w)) = 0
((-18 + 27w) + -1w * (-2 + 3w)) = 0
(-18 + 27w + (-2 * -1w + 3w * -1w)) = 0
(-18 + 27w + (2w + -3w2)) = 0

Combine like terms: 27w + 2w = 29w
(-18 + 29w + -3w2) = 0

Solving
-18 + 29w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + w)(2 + -3w) = 0


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

Simplifying
-9 + w = 0

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

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

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

Simplifying
w = 9

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

Simplifying
2 + -3w = 0

Solving
2 + -3w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3w = 0 + -2
-3w = 0 + -2

Combine like terms: 0 + -2 = -2
-3w = -2

Divide each side by '-3'.
w = 0.6666666667

Simplifying
w = 0.6666666667
Solution
w = {9, 0.6666666667}

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