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

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

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

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

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

Multiply (-3 + 4w) * (-5 + 5w)
(-3(-5 + 5w) + 4w * (-5 + 5w)) = 0
((-5 * -3 + 5w * -3) + 4w * (-5 + 5w)) = 0
((15 + -15w) + 4w * (-5 + 5w)) = 0
(15 + -15w + (-5 * 4w + 5w * 4w)) = 0
(15 + -15w + (-20w + 20w2)) = 0

Combine like terms: -15w + -20w = -35w
(15 + -35w + 20w2) = 0

Solving
15 + -35w + 20w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -7w + 4w2) = 0

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

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

Simplifying
1 + -1w = 0

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

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

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

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

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