(4w-2)(5w-4)=

Solution for (4w-2)(5w-4)= equation:

Simplifying
(4w + -2)(5w + -4) = 0

Reorder the terms:
(-2 + 4w)(5w + -4) = 0

Reorder the terms:
(-2 + 4w)(-4 + 5w) = 0

Multiply (-2 + 4w) * (-4 + 5w)
(-2(-4 + 5w) + 4w * (-4 + 5w)) = 0
((-4 * -2 + 5w * -2) + 4w * (-4 + 5w)) = 0
((8 + -10w) + 4w * (-4 + 5w)) = 0
(8 + -10w + (-4 * 4w + 5w * 4w)) = 0
(8 + -10w + (-16w + 20w2)) = 0

Combine like terms: -10w + -16w = -26w
(8 + -26w + 20w2) = 0

Solving
8 + -26w + 20w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -13w + 10w2) = 0

Factor a trinomial.
2((1 + -2w)(4 + -5w)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -5w)' equal to zero and attempt to solve:

Simplifying
4 + -5w = 0

Solving
4 + -5w = 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 + -5w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5w = 0 + -4
-5w = 0 + -4

Combine like terms: 0 + -4 = -4
-5w = -4

Divide each side by '-5'.
w = 0.8

Simplifying
w = 0.8
Solution
w = {0.5, 0.8}