(4w-3)(w-2)=0

Solution for (4w-3)(w-2)=0 equation:

Simplifying
(4w + -3)(w + -2) = 0

Reorder the terms:
(-3 + 4w)(w + -2) = 0

Reorder the terms:
(-3 + 4w)(-2 + w) = 0

Multiply (-3 + 4w) * (-2 + w)
(-3(-2 + w) + 4w * (-2 + w)) = 0
((-2 * -3 + w * -3) + 4w * (-2 + w)) = 0
((6 + -3w) + 4w * (-2 + w)) = 0
(6 + -3w + (-2 * 4w + w * 4w)) = 0
(6 + -3w + (-8w + 4w2)) = 0

Combine like terms: -3w + -8w = -11w
(6 + -11w + 4w2) = 0

Solving
6 + -11w + 4w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(3 + -4w)' equal to zero and attempt to solve:

Simplifying
3 + -4w = 0

Solving
3 + -4w = 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 + -4w = 0 + -3

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

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

Divide each side by '-4'.
w = 0.75

Simplifying
w = 0.75
Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 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 + -1w = 0 + -2

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

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

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Solution
w = {0.75, 2}