(5w-3)(4-w)=0

Solution for (5w-3)(4-w)=0 equation:

Simplifying
(5w + -3)(4 + -1w) = 0

Reorder the terms:
(-3 + 5w)(4 + -1w) = 0

Multiply (-3 + 5w) * (4 + -1w)
(-3(4 + -1w) + 5w * (4 + -1w)) = 0
((4 * -3 + -1w * -3) + 5w * (4 + -1w)) = 0
((-12 + 3w) + 5w * (4 + -1w)) = 0
(-12 + 3w + (4 * 5w + -1w * 5w)) = 0
(-12 + 3w + (20w + -5w2)) = 0

Combine like terms: 3w + 20w = 23w
(-12 + 23w + -5w2) = 0

Solving
-12 + 23w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4 + w)(3 + -5w) = 0

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

Simplifying
-4 + w = 0

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

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

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

Simplifying
w = 4
Subproblem 2
Set the factor '(3 + -5w)' equal to zero and attempt to solve:

Simplifying
3 + -5w = 0

Solving
3 + -5w = 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 + -5w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5w = 0 + -3
-5w = 0 + -3

Combine like terms: 0 + -3 = -3
-5w = -3

Divide each side by '-5'.
w = 0.6

Simplifying
w = 0.6
Solution
w = {4, 0.6}