(4w-1)(5w-3)=

Solution for (4w-1)(5w-3)= equation:

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

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

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

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

Combine like terms: -5w + -12w = -17w
(3 + -17w + 20w2) = 0

Solving
3 + -17w + 20w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + -4w)(3 + -5w) = 0

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

Simplifying
1 + -4w = 0

Solving
1 + -4w = 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 + -4w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4w = 0 + -1
-4w = 0 + -1

Combine like terms: 0 + -1 = -1
-4w = -1

Divide each side by '-4'.
w = 0.25

Simplifying
w = 0.25
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 = {0.25, 0.6}