(6w-3)(4-3w)=

Solution for (6w-3)(4-3w)= equation:

Simplifying
(6w + -3)(4 + -3w) = 0

Reorder the terms:
(-3 + 6w)(4 + -3w) = 0

Multiply (-3 + 6w) * (4 + -3w)
(-3(4 + -3w) + 6w * (4 + -3w)) = 0
((4 * -3 + -3w * -3) + 6w * (4 + -3w)) = 0
((-12 + 9w) + 6w * (4 + -3w)) = 0
(-12 + 9w + (4 * 6w + -3w * 6w)) = 0
(-12 + 9w + (24w + -18w2)) = 0

Combine like terms: 9w + 24w = 33w
(-12 + 33w + -18w2) = 0

Solving
-12 + 33w + -18w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 11w + -6w2) = 0

Factor a trinomial.
3((-4 + 3w)(1 + -2w)) = 0

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

Simplifying
1 + -2w = 0

Solving
1 + -2w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2w = 0 + -1
-2w = 0 + -1

Combine like terms: 0 + -1 = -1
-2w = -1

Divide each side by '-2'.
w = 0.5

Simplifying
w = 0.5
Solution
w = {1.333333333, 0.5}