(3-w)(3w-4)=0

Solution for (3-w)(3w-4)=0 equation:

Simplifying
(3 + -1w)(3w + -4) = 0

Reorder the terms:
(3 + -1w)(-4 + 3w) = 0

Multiply (3 + -1w) * (-4 + 3w)
(3(-4 + 3w) + -1w * (-4 + 3w)) = 0
((-4 * 3 + 3w * 3) + -1w * (-4 + 3w)) = 0
((-12 + 9w) + -1w * (-4 + 3w)) = 0
(-12 + 9w + (-4 * -1w + 3w * -1w)) = 0
(-12 + 9w + (4w + -3w2)) = 0

Combine like terms: 9w + 4w = 13w
(-12 + 13w + -3w2) = 0

Solving
-12 + 13w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + w)(4 + -3w) = 0

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

Simplifying
-3 + w = 0

Solving
-3 + w = 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 + w = 0 + 3

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

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

Simplifying
w = 3
Subproblem 2
Set the factor '(4 + -3w)' equal to zero and attempt to solve:

Simplifying
4 + -3w = 0

Solving
4 + -3w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3w = 0 + -4
-3w = 0 + -4

Combine like terms: 0 + -4 = -4
-3w = -4

Divide each side by '-3'.
w = 1.333333333

Simplifying
w = 1.333333333
Solution
w = {3, 1.333333333}