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

Solution for (4w-3)(1-w)=0 equation:

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

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

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

Combine like terms: 3w + 4w = 7w
(-3 + 7w + -4w2) = 0

Solving
-3 + 7w + -4w2 = 0

Solving for variable 'w'.

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

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

Simplifying
-1 + w = 0

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

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

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

Simplifying
w = 1
Subproblem 2
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
Solution
w = {1, 0.75}